160:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Sucesiones y series:@0.073089:0.043661:0.242349:0.043661:0.242349:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 1. Definición de sucesión numérica real:@0.073089:0.098522:0.738220:0.098522:0.738220:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302129:0.139844:0.424604:0.139844:0.424604:0.124438:0.302129:0.124438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se expresa el término general de una sucesión?:@0.294207:0.164216:0.691876:0.164216:0.691876:0.147782:0.294207:0.147782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición.:@0.293655:0.218662:0.379407:0.218662:0.379407:0.201993:0.293655:0.201993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.379672:0.218662:0.383483:0.218662:0.383483:0.201715:0.379672:0.201715:0.000000
Sea      ,   ≠  . Se llama sucesión numérica real a toda función   :@0.385765:0.218662:0.930944:0.218662:0.930944:0.202229:0.385765:0.202229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.418474:0.219245:0.425634:0.219245:0.428511:0.201591:0.421351:0.201591:0.000000
⊂ ℕ:@0.433118:0.219245:0.469602:0.219245:0.469602:0.201591:0.433118:0.201591:0.000000:0.000000:0.000000
Ι:@0.479310:0.219245:0.486470:0.219245:0.489347:0.201591:0.482187:0.201591:0.000000
∅:@0.511701:0.219245:0.527034:0.219245:0.527034:0.201591:0.511701:0.201591:0.000000
a:@0.917654:0.218662:0.926913:0.218662:0.926913:0.202256:0.917654:0.202256:0.000000
 :@0.926913:0.218662:0.930944:0.218662:0.930944:0.202229:0.926913:0.202229:0.000000
de   en  .:@0.293667:0.235304:0.363081:0.235304:0.363081:0.218870:0.293667:0.218870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.316400:0.235304:0.320228:0.235304:0.320228:0.218898:0.316400:0.218898:0.000000
ℝ:@0.346680:0.235887:0.359970:0.235887:0.359970:0.218232:0.346680:0.218232:0.000000
1.1 Notaciones:@0.293648:0.269808:0.410277:0.269808:0.410277:0.252861:0.293648:0.252861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es una sucesión,   es la función  ( ): :@0.293648:0.295811:0.588533:0.295811:0.588533:0.279377:0.293648:0.279377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.309828:0.295811:0.319087:0.295811:0.319087:0.279405:0.309828:0.279405:0.000000
a:@0.444827:0.295811:0.454086:0.295811:0.454086:0.279405:0.444827:0.279405:0.000000
a n:@0.553154:0.295811:0.576642:0.295811:0.576642:0.279405:0.553154:0.279405:0.000000:0.000000:0.000000
Ι:@0.598942:0.290434:0.606103:0.290434:0.608980:0.272780:0.601819:0.272780:0.000000
    ,:@0.606670:0.289852:0.647019:0.289852:0.647019:0.273418:0.606670:0.273418:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.610628:0.289311:0.627029:0.289311:0.627029:0.273515:0.610628:0.273515:0.000000
ℝ:@0.630618:0.290434:0.643908:0.290434:0.643908:0.272780:0.630618:0.272780:0.000000
n:@0.599620:0.306493:0.609119:0.306493:0.609119:0.290087:0.599620:0.290087:0.000000
    ( ).:@0.609045:0.306493:0.664414:0.306493:0.664414:0.290060:0.609045:0.290060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.613003:0.305953:0.629403:0.305953:0.629403:0.290157:0.613003:0.290157:0.000000
a n:@0.632993:0.306493:0.656480:0.306493:0.656480:0.290087:0.632993:0.290087:0.000000:0.000000:0.000000
El conjunto   se llama conjunto de índices y :@0.293660:0.335120:0.608978:0.335120:0.608978:0.318686:0.293660:0.318686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.378107:0.335702:0.385267:0.335702:0.388144:0.318048:0.380984:0.318048:0.000000
n :@0.608302:0.335120:0.621021:0.335120:0.621021:0.318714:0.608302:0.318714:0.000000:0.000000
∈:@0.620598:0.335702:0.635931:0.335702:0.635931:0.318048:0.620598:0.318048:0.000000
   se dice índice de la sucesión. Para cada :@0.636171:0.335120:0.931143:0.335120:0.931143:0.318686:0.636171:0.318686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.639015:0.335702:0.646175:0.335702:0.649052:0.318048:0.641892:0.318048:0.000000
n :@0.293650:0.356546:0.306369:0.356546:0.306369:0.340140:0.293650:0.340140:0.000000:0.000000
∈:@0.305928:0.357129:0.321261:0.357129:0.321261:0.339475:0.305928:0.339475:0.000000
  , el número real  ( ) se denomina término general de la sucesión y se denota como :@0.321500:0.356546:0.931028:0.356553:0.931028:0.340119:0.321500:0.340112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.324356:0.357135:0.331516:0.357135:0.334394:0.339481:0.327233:0.339481:0.000000
a n:@0.445630:0.356553:0.469044:0.356553:0.469044:0.340146:0.445630:0.340146:0.000000:0.000000:0.000000
a:@0.293660:0.377979:0.302919:0.377979:0.302919:0.361573:0.293660:0.361573:0.000000
n:@0.302991:0.381158:0.308528:0.381158:0.308528:0.371593:0.302991:0.371593:0.000000
, es decir que  ( ) =  . A la sucesión real   se la denota ( ):@0.308572:0.377985:0.756840:0.377985:0.756840:0.361551:0.308572:0.361551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a n:@0.413511:0.377985:0.437312:0.377985:0.437312:0.361579:0.413511:0.361579:0.000000:0.000000:0.000000
a:@0.463340:0.377985:0.472599:0.377985:0.472599:0.361579:0.463340:0.361579:0.000000
n:@0.472676:0.381158:0.478213:0.381158:0.478213:0.371593:0.472676:0.371593:0.000000
a:@0.621299:0.377985:0.630558:0.377985:0.630558:0.361579:0.621299:0.361579:0.000000
a:@0.737044:0.377985:0.746303:0.377985:0.746303:0.361579:0.737044:0.361579:0.000000
n n:@0.746382:0.381158:0.762466:0.381158:0.762466:0.371593:0.746382:0.371593:0.000000:0.000000:0.000000
∈:@0.762509:0.381497:0.771449:0.381497:0.771449:0.371205:0.762509:0.371205:0.000000
Ι:@0.771337:0.381497:0.775511:0.381497:0.777189:0.371205:0.773014:0.371205:0.000000
 o simplemente ( ), :@0.775954:0.377985:0.930942:0.377985:0.930942:0.361551:0.775954:0.361551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.903829:0.377985:0.913088:0.377985:0.913088:0.361579:0.903829:0.361579:0.000000
n:@0.913161:0.381158:0.918699:0.381158:0.918699:0.371593:0.913161:0.371593:0.000000
siempre que no haya peligro de confusión. Se dirá sucesión ( ) o también sucesión real; :@0.293668:0.399412:0.931078:0.399418:0.931078:0.382984:0.293668:0.382978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.728982:0.399412:0.738240:0.399412:0.738240:0.383006:0.728982:0.383006:0.000000
n:@0.738162:0.402590:0.743699:0.402590:0.743699:0.393026:0.738162:0.393026:0.000000
su término general es  . El conjunto {      | :@0.293658:0.420844:0.634952:0.420851:0.634952:0.404417:0.293658:0.404410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.456102:0.420844:0.465361:0.420844:0.465361:0.404438:0.456102:0.404438:0.000000
n:@0.465294:0.424023:0.470832:0.424023:0.470832:0.414458:0.465294:0.414458:0.000000
a:@0.570192:0.420851:0.579451:0.420851:0.579451:0.404444:0.570192:0.404444:0.000000
n:@0.579386:0.424023:0.584923:0.424023:0.584923:0.414458:0.579386:0.414458:0.000000
∈ ℝ:@0.589229:0.421433:0.622840:0.421433:0.622840:0.403779:0.589229:0.403779:0.000000:0.000000:0.000000
n :@0.635265:0.420851:0.648003:0.420851:0.648003:0.404444:0.635265:0.404444:0.000000:0.000000
∈:@0.648279:0.421433:0.663612:0.421433:0.663612:0.403779:0.648279:0.403779:0.000000
  } es el recorrido de la sucesión ( ). :@0.663889:0.420851:0.930949:0.420851:0.930949:0.404417:0.663889:0.404417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.667578:0.421433:0.674738:0.421433:0.677615:0.403779:0.670455:0.403779:0.000000
a:@0.904217:0.420851:0.913476:0.420851:0.913476:0.404444:0.904217:0.404444:0.000000
n:@0.913412:0.424023:0.918950:0.424023:0.918950:0.414458:0.913412:0.414458:0.000000
Este conjunto puede ser finito.:@0.293653:0.442277:0.513959:0.442277:0.513959:0.425843:0.293653:0.425843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto {(:@0.293653:0.480095:0.387759:0.480095:0.387759:0.463662:0.293653:0.463662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n, a:@0.387641:0.480095:0.412325:0.480095:0.412325:0.463689:0.387641:0.463689:0.000000:0.000000:0.000000:0.000000
n:@0.412188:0.483278:0.417725:0.483278:0.417725:0.473713:0.412188:0.473713:0.000000
)     | :@0.417648:0.480106:0.475023:0.480106:0.475023:0.463672:0.417648:0.463672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.426189:0.480688:0.458825:0.480688:0.458825:0.463034:0.426189:0.463034:0.000000:0.000000:0.000000
2:@0.458653:0.474042:0.463890:0.474042:0.463890:0.464461:0.458653:0.464461:0.000000
n :@0.474471:0.480106:0.487154:0.480106:0.487154:0.463699:0.474471:0.463699:0.000000:0.000000
∈:@0.486675:0.480688:0.502008:0.480688:0.502008:0.463034:0.486675:0.463034:0.000000
  } se llama grafo de la sucesión. Este conjunto se representa :@0.502193:0.480106:0.930724:0.480106:0.930724:0.463672:0.502193:0.463672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.505002:0.480688:0.512162:0.480688:0.515039:0.463034:0.507879:0.463034:0.000000
gráficamente en el sistema de coordenadas rectangulares y al resultado de esa gráfica se :@0.293663:0.499022:0.930435:0.499022:0.930435:0.482588:0.293663:0.482588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo denomina gráfica de la sucesión ( ).:@0.293663:0.517938:0.576196:0.517928:0.576196:0.501494:0.293663:0.501504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.553500:0.517938:0.562759:0.517938:0.562759:0.501532:0.553500:0.501532:0.000000
n:@0.562691:0.521100:0.568228:0.521100:0.568228:0.511536:0.562691:0.511536:0.000000
Definición  :@0.293663:0.558270:0.382534:0.558270:0.382534:0.541324:0.293663:0.541324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una sucesión ( ):@0.375521:0.558270:0.510472:0.558272:0.510472:0.541838:0.375521:0.541837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.490787:0.558270:0.500046:0.558270:0.500046:0.541864:0.490787:0.541864:0.000000
n n:@0.500052:0.561444:0.516017:0.561444:0.516017:0.551879:0.500052:0.551879:0.000000:0.000000:0.000000
∈:@0.516017:0.561784:0.524956:0.561784:0.524956:0.551491:0.516017:0.551491:0.000000
Ι:@0.524795:0.561784:0.528970:0.561784:0.530647:0.551491:0.526472:0.551491:0.000000
 se dice finita si el conjunto   de índices es finito. En el:@0.529360:0.558272:0.926719:0.558272:0.926719:0.541838:0.529360:0.541838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.733827:0.558854:0.740988:0.558854:0.743865:0.541200:0.736704:0.541200:0.000000
caso contrario, la sucesión se dice infinita. :@0.293660:0.577188:0.597807:0.577188:0.597807:0.560754:0.293660:0.560754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No se debe confundir una sucesión finita (  es finito) con una sucesión que toma un número :@0.293660:0.606824:0.931132:0.606815:0.931132:0.590382:0.293660:0.590391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.580957:0.607398:0.588117:0.607398:0.590994:0.589744:0.583834:0.589744:0.000000
finito de valores, o sea, que su recorrido es finito.:@0.293653:0.625732:0.619018:0.625732:0.619018:0.609298:0.293653:0.609298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos el siguiente ejemplo: ( ) la sucesión real definida como   = :@0.293653:0.656796:0.869846:0.656791:0.869846:0.640358:0.293653:0.640363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.573959:0.656796:0.583218:0.656796:0.583218:0.640390:0.573959:0.640390:0.000000
n:@0.583332:0.659964:0.588869:0.659964:0.588869:0.650399:0.583332:0.650399:0.000000
a:@0.834469:0.656791:0.843727:0.656791:0.843727:0.640385:0.834469:0.640385:0.000000
n:@0.843838:0.659964:0.849375:0.659964:0.849375:0.650399:0.843838:0.650399:0.000000
 n:@0.877255:0.650215:0.889993:0.650215:0.889993:0.633809:0.877255:0.633809:0.000000:0.000000
 + 1:@0.889938:0.650215:0.917715:0.650215:0.917715:0.633782:0.889938:0.633782:0.000000:0.000000:0.000000:0.000000
n:@0.876298:0.666608:0.885796:0.666608:0.885796:0.650202:0.876298:0.650202:0.000000
2:@0.885716:0.660541:0.890953:0.660541:0.890953:0.650960:0.885716:0.650960:0.000000
 + 1:@0.890905:0.666605:0.918700:0.666605:0.918700:0.650171:0.890905:0.650171:0.000000:0.000000:0.000000:0.000000
,:@0.923709:0.656791:0.926911:0.656791:0.926911:0.640358:0.923709:0.640358:0.000000
n :@0.293660:0.687685:0.306656:0.687685:0.306656:0.671279:0.293660:0.671279:0.000000:0.000000
∈ ℕ:@0.308036:0.688267:0.344022:0.688267:0.344022:0.670613:0.308036:0.670613:0.000000:0.000000:0.000000
  . Si se escribe   = :@0.323977:0.687685:0.486238:0.687685:0.486238:0.671251:0.323977:0.671251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.453619:0.687685:0.462878:0.687685:0.462878:0.671279:0.453619:0.671279:0.000000
j:@0.463074:0.690857:0.465188:0.690857:0.465188:0.681292:0.463074:0.681292:0.000000
 j:@0.496692:0.681109:0.503558:0.681109:0.503558:0.664703:0.496692:0.664703:0.000000:0.000000
 + 1:@0.503503:0.681109:0.531279:0.681109:0.531279:0.664675:0.503503:0.664675:0.000000:0.000000:0.000000:0.000000
j:@0.495735:0.697501:0.499361:0.697501:0.499361:0.681095:0.495735:0.681095:0.000000
2:@0.499281:0.691435:0.504518:0.691435:0.504518:0.681854:0.499281:0.681854:0.000000
 + 1:@0.504472:0.697498:0.532267:0.697498:0.532267:0.681065:0.504472:0.681065:0.000000:0.000000:0.000000:0.000000
,  :@0.538508:0.687685:0.551688:0.687685:0.551688:0.671251:0.538508:0.671251:0.000000:0.000000:0.000000
j :@0.553375:0.687685:0.560498:0.687685:0.560498:0.671279:0.553375:0.671279:0.000000:0.000000
∈ ℕ:@0.561879:0.688267:0.597865:0.688267:0.597865:0.670613:0.561879:0.670613:0.000000:0.000000:0.000000
  ,   =  , :@0.577820:0.687685:0.665252:0.687685:0.665252:0.671251:0.577820:0.671251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.607253:0.687685:0.616512:0.687685:0.616512:0.671279:0.607253:0.671279:0.000000
k:@0.616699:0.690857:0.621110:0.690857:0.621110:0.681292:0.616699:0.681292:0.000000
a k :@0.643853:0.687685:0.678009:0.687685:0.678009:0.671279:0.643853:0.671279:0.000000:0.000000:0.000000:0.000000
k:@0.653283:0.690857:0.657693:0.690857:0.657693:0.681292:0.653283:0.681292:0.000000
∈ ℕ:@0.679389:0.688267:0.715375:0.688267:0.715375:0.670613:0.679389:0.670613:0.000000:0.000000:0.000000
  ,   = :@0.695330:0.687685:0.760650:0.687685:0.760650:0.671251:0.695330:0.671251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.724763:0.687685:0.734022:0.687685:0.734022:0.671279:0.724763:0.671279:0.000000
p:@0.734203:0.690857:0.739600:0.690857:0.739600:0.681292:0.734203:0.681292:0.000000
 p:@0.767946:0.680216:0.780445:0.680216:0.780445:0.663810:0.767946:0.663810:0.000000:0.000000
 + 1:@0.780390:0.680216:0.808166:0.680216:0.808166:0.663782:0.780390:0.663782:0.000000:0.000000:0.000000:0.000000
p:@0.766989:0.696608:0.776248:0.696608:0.776248:0.680202:0.766989:0.680202:0.000000
2:@0.776168:0.690542:0.781405:0.690542:0.781405:0.680961:0.776168:0.680961:0.000000
 + 1:@0.781359:0.696606:0.809154:0.696606:0.809154:0.680172:0.781359:0.680172:0.000000:0.000000:0.000000:0.000000
,  :@0.811987:0.687685:0.825166:0.687685:0.825166:0.671251:0.811987:0.671251:0.000000:0.000000:0.000000
p :@0.826853:0.687685:0.839609:0.687685:0.839609:0.671279:0.826853:0.671279:0.000000:0.000000
∈ ℕ:@0.840990:0.688267:0.876976:0.688267:0.876976:0.670613:0.840990:0.670613:0.000000:0.000000:0.000000
 :@0.856930:0.687685:0.860962:0.687685:0.860962:0.671251:0.856930:0.671251:0.000000
, :@0.877215:0.687685:0.884044:0.687685:0.884044:0.671279:0.877215:0.671279:0.000000:0.000000
todas :@0.885425:0.687685:0.930941:0.687685:0.930941:0.671251:0.885425:0.671251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representan el mismo término general de la sucesión ( ) y se han utilizado tres tipos de :@0.293632:0.715213:0.931081:0.715213:0.931081:0.698779:0.293632:0.698779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.686203:0.715213:0.695462:0.715213:0.695462:0.698807:0.686203:0.698807:0.000000
n:@0.695425:0.718385:0.700963:0.718385:0.700963:0.708821:0.695425:0.708821:0.000000
índices  ,  ,   del conjunto de índices   de la sucesión ( ).:@0.293663:0.739163:0.713242:0.739167:0.713242:0.722733:0.293663:0.722730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j k p:@0.348628:0.739163:0.383068:0.739163:0.383068:0.722757:0.348628:0.722757:0.000000:0.000000:0.000000:0.000000:0.000000
ℕ:@0.561305:0.739746:0.575626:0.739746:0.575626:0.722092:0.561305:0.722092:0.000000
a:@0.690505:0.739163:0.699764:0.739163:0.699764:0.722757:0.690505:0.722757:0.000000
n:@0.699736:0.742340:0.705273:0.742340:0.705273:0.732775:0.699736:0.732775:0.000000
Definición:@0.293667:0.775987:0.374788:0.775987:0.374788:0.759040:0.293667:0.759040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean      , con   ≠  . Diremos que las sucesiones reales ( )  y ( ):@0.374696:0.775987:0.877953:0.775981:0.877953:0.759547:0.374696:0.759553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.420512:0.776563:0.427673:0.776563:0.430550:0.758909:0.423389:0.758909:0.000000
⊂ ℕ:@0.432198:0.776563:0.465718:0.776563:0.465718:0.758909:0.432198:0.758909:0.000000:0.000000:0.000000
Ι:@0.503619:0.776563:0.510780:0.776563:0.513657:0.758909:0.506496:0.758909:0.000000
∅:@0.530141:0.776563:0.545475:0.776563:0.545475:0.758909:0.530141:0.758909:0.000000
a:@0.806287:0.775981:0.815546:0.775981:0.815546:0.759575:0.806287:0.759575:0.000000
j j:@0.815491:0.779153:0.824477:0.779153:0.824477:0.769589:0.815491:0.769589:0.000000:0.000000:0.000000
∈:@0.824434:0.779493:0.833374:0.779493:0.833374:0.769200:0.824434:0.769200:0.000000
Ι:@0.833153:0.779493:0.837328:0.779493:0.839005:0.769200:0.834831:0.769200:0.000000
b:@0.858385:0.775981:0.867643:0.775981:0.867643:0.759575:0.858385:0.759575:0.000000
n n:@0.867577:0.779153:0.883410:0.779153:0.883410:0.769589:0.867577:0.769589:0.000000:0.000000:0.000000
∈:@0.883367:0.779493:0.892307:0.779493:0.892307:0.769200:0.883367:0.769200:0.000000
Ι:@0.892087:0.779493:0.896261:0.779493:0.897939:0.769200:0.893764:0.769200:0.000000
 son:@0.896593:0.775981:0.926928:0.775981:0.926928:0.759547:0.896593:0.759547:0.000000:0.000000:0.000000:0.000000
iguales y escribimos ( )  = ( ):@0.293663:0.796159:0.522310:0.796153:0.522310:0.779719:0.293663:0.779725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.447787:0.796159:0.457046:0.796159:0.457046:0.779753:0.447787:0.779753:0.000000
j j:@0.456984:0.799325:0.465971:0.799325:0.465971:0.789761:0.456984:0.789761:0.000000:0.000000:0.000000
∈:@0.465928:0.799665:0.474867:0.799665:0.474867:0.789372:0.465928:0.789372:0.000000
Ι:@0.474647:0.799665:0.478822:0.799665:0.480499:0.789372:0.476324:0.789372:0.000000
b:@0.502733:0.796153:0.511992:0.796153:0.511992:0.779747:0.502733:0.779747:0.000000
n n:@0.511933:0.799325:0.527767:0.799325:0.527767:0.789761:0.511933:0.789761:0.000000:0.000000:0.000000
∈:@0.527724:0.799665:0.536663:0.799665:0.536663:0.789372:0.527724:0.789372:0.000000
Ι:@0.536444:0.799665:0.540618:0.799665:0.542295:0.789372:0.538121:0.789372:0.000000
 si y solo si   = :@0.540950:0.796153:0.650008:0.796153:0.650008:0.779719:0.540950:0.779719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.619862:0.796153:0.629121:0.796153:0.629121:0.779747:0.619862:0.779747:0.000000
j:@0.629047:0.799325:0.631161:0.799325:0.631161:0.789761:0.629047:0.789761:0.000000
b  ,  j, n:@0.649916:0.796153:0.704076:0.796153:0.704076:0.779747:0.649916:0.779747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.659104:0.799325:0.664642:0.799325:0.664642:0.789761:0.659104:0.789761:0.000000
∀:@0.672518:0.796735:0.684796:0.796735:0.684796:0.779081:0.672518:0.779081:0.000000
 :@0.704031:0.796153:0.708063:0.796153:0.708063:0.779719:0.704031:0.779719:0.000000
∈:@0.707989:0.796735:0.723322:0.796735:0.723322:0.779081:0.707989:0.779081:0.000000
Ι:@0.722927:0.796735:0.730087:0.796735:0.732964:0.779081:0.725804:0.779081:0.000000
.:@0.730655:0.796153:0.733858:0.796153:0.733858:0.779719:0.730655:0.779719:0.000000
Ejercicio 1:@0.293667:0.834235:0.370070:0.834235:0.370070:0.817565:0.293667:0.817565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la sucesión ( ) definida como  =   ,      :@0.293667:0.865605:0.718374:0.865609:0.718374:0.849175:0.293667:0.849171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.490532:0.865605:0.499791:0.865605:0.499791:0.849199:0.490532:0.849199:0.000000
n:@0.499716:0.868775:0.505253:0.868775:0.505253:0.859210:0.499716:0.859210:0.000000
a  :@0.623463:0.865602:0.641465:0.865602:0.641465:0.849196:0.623463:0.849196:0.000000:0.000000:0.000000
n:@0.632653:0.868775:0.638191:0.868775:0.638191:0.859210:0.632653:0.859210:0.000000
1:@0.658863:0.858134:0.667846:0.858134:0.667846:0.841700:0.658863:0.841700:0.000000
n:@0.658606:0.874526:0.668104:0.874526:0.668104:0.858120:0.658606:0.858120:0.000000
n:@0.685351:0.865609:0.694850:0.865609:0.694850:0.849203:0.685351:0.849203:0.000000
∈ ℤ:@0.698733:0.866191:0.730946:0.866191:0.730946:0.848537:0.698733:0.848537:0.000000:0.000000:0.000000
+:@0.730858:0.857017:0.737253:0.857017:0.737253:0.847436:0.730858:0.847436:0.000000
.:@0.737206:0.865602:0.740409:0.865602:0.740409:0.849169:0.737206:0.849169:0.000000
El término general de esta sucesión está definido como :@0.293665:0.903227:0.708489:0.903227:0.708489:0.886793:0.293665:0.886793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  :@0.709227:0.903227:0.727367:0.903223:0.727367:0.886817:0.709227:0.886821:0.000000:0.000000:0.000000
n:@0.718505:0.906395:0.724042:0.906395:0.724042:0.896830:0.718505:0.896830:0.000000
=    ,      :@0.727809:0.903223:0.813034:0.903220:0.813034:0.886786:0.727809:0.886789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.746013:0.896647:0.754996:0.896647:0.754996:0.880213:0.746013:0.880213:0.000000
n:@0.745756:0.913039:0.755254:0.913039:0.755254:0.896633:0.745756:0.896633:0.000000
n:@0.779183:0.903220:0.788681:0.903220:0.788681:0.886814:0.779183:0.886814:0.000000
∈ ℤ:@0.793283:0.903803:0.826232:0.903803:0.826232:0.886148:0.793283:0.886148:0.000000:0.000000:0.000000
+:@0.826259:0.894637:0.832655:0.894637:0.832655:0.885056:0.826259:0.885056:0.000000
. Nota que el:@0.832670:0.903223:0.926878:0.903223:0.926878:0.886789:0.832670:0.886789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto en el que está definida la sucesión es :@0.293668:0.919865:0.635337:0.919865:0.635337:0.903431:0.293668:0.903431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.634259:0.920447:0.641419:0.920447:0.644296:0.902793:0.637136:0.902793:0.000000
 =:@0.641987:0.919865:0.656198:0.919865:0.656198:0.903458:0.641987:0.903458:0.000000:0.000000
 :@0.656142:0.919865:0.660174:0.919865:0.660174:0.903431:0.656142:0.903431:0.000000
ℤ:@0.660100:0.920447:0.672378:0.920447:0.672378:0.902793:0.660100:0.902793:0.000000
+:@0.672274:0.911279:0.678670:0.911279:0.678670:0.901698:0.672274:0.901698:0.000000
.:@0.678623:0.919865:0.681826:0.919865:0.681826:0.903431:0.678623:0.903431:0.000000
Competencia :@0.078581:0.228508:0.187141:0.228508:0.187141:0.211561:0.078581:0.211561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.245149:0.176057:0.245149:0.176057:0.228202:0.078581:0.228202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las sucesiones reales :@0.082576:0.264748:0.224608:0.264748:0.224608:0.249808:0.082576:0.249808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
convergentes  son una :@0.082576:0.279877:0.236562:0.279877:0.236562:0.264937:0.082576:0.264937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clase de funciones cuyo :@0.082576:0.295006:0.243867:0.295006:0.243867:0.280066:0.082576:0.280066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de salida es :@0.082576:0.310134:0.225794:0.310134:0.225794:0.295195:0.082576:0.295195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un subconjunto de los :@0.082576:0.325263:0.234764:0.325263:0.234764:0.310324:0.082576:0.310324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números naturales y el :@0.082576:0.340392:0.235485:0.340392:0.235485:0.325453:0.082576:0.325453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de llegada es el :@0.082576:0.355521:0.251882:0.355521:0.251882:0.340581:0.082576:0.340581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de los números :@0.082576:0.370650:0.251974:0.370650:0.251974:0.355710:0.082576:0.355710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales.:@0.082576:0.385779:0.123259:0.385779:0.123259:0.370839:0.082576:0.370839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1) Encuentra las relaciones y propiedades que determinan la formación de secuencias numéricas.:@0.350614:0.971366:0.918061:0.971366:0.918061:0.959415:0.350614:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000