﻿113:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
A continuación, se indican los primeros cinco términos de la sucesión::@0.108233:0.096194:0.595696:0.096194:0.595696:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,      ,      ,     ,      ,  … . El recorrido de la sucesión es el conjunto:@0.108233:0.120673:0.548594:0.120673:0.548594:0.104176:0.108233:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  1,      , … ,      , …   , al que escribiremos también como       |     :@0.108233:0.154059:0.564588:0.154059:0.564588:0.137561:0.108233:0.137561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.530502:0.154175:0.539865:0.154175:0.539865:0.137706:0.530502:0.137706:0.000000
:@0.544007:0.153842:0.560055:0.153842:0.560055:0.139195:0.544007:0.139195:0.000000
Z:@0.564965:0.152976:0.577257:0.152976:0.577257:0.140114:0.564965:0.140114:0.000000
+   :@0.577257:0.145195:0.590802:0.145195:0.590802:0.135577:0.577257:0.135577:0.000000:0.000000:0.000000:0.000000
.:@0.590801:0.154178:0.593652:0.154178:0.593652:0.137710:0.590801:0.137710:0.000000
Esta es una sucesión que tiene un número :@0.108226:0.185670:0.411268:0.185670:0.411268:0.169172:0.108226:0.169172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito:@0.411249:0.185887:0.465134:0.185887:0.465134:0.169172:0.411249:0.169172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de términos. En la :@0.465134:0.185670:0.599913:0.185670:0.599913:0.169172:0.465134:0.169172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.1. se muestra la gráfica de algunos puntos de la sucesión ( ).:@0.108226:0.203021:0.595768:0.203020:0.595768:0.186522:0.108226:0.186523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.572767:0.203136:0.581744:0.203136:0.581744:0.186668:0.572767:0.186668:0.000000
n:@0.581602:0.206365:0.587061:0.206365:0.587061:0.196764:0.581602:0.196764:0.000000
Ejercicio resuelto:@0.108241:0.238097:0.226220:0.238097:0.226220:0.221310:0.108241:0.221310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión definida como   = (–1) ,      . El conjunto de :@0.108241:0.255072:0.599916:0.255072:0.599916:0.238574:0.108241:0.238574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.142880:0.255187:0.150664:0.255187:0.150664:0.238719:0.142880:0.238719:0.000000
n:@0.150767:0.258417:0.156226:0.258417:0.156226:0.248816:0.150767:0.248816:0.000000
v:@0.357408:0.255187:0.365191:0.255187:0.365191:0.238719:0.357408:0.238719:0.000000
n:@0.365299:0.258417:0.370757:0.258417:0.370757:0.248816:0.365299:0.248816:0.000000
n:@0.421595:0.248788:0.427054:0.248788:0.427054:0.239186:0.421595:0.239186:0.000000
n:@0.434374:0.255187:0.443737:0.255187:0.443737:0.238719:0.434374:0.238719:0.000000
:@0.448303:0.254855:0.464350:0.254855:0.464350:0.240208:0.448303:0.240208:0.000000
N:@0.469681:0.253985:0.484018:0.253985:0.484018:0.241123:0.469681:0.241123:0.000000
salida es el conjunto de los números naturales. Los primeros cinco :@0.108230:0.272423:0.599908:0.272423:0.599908:0.255925:0.108230:0.255925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos de la sucesión son: 1, –1, 1, –1, 1, … . El recorrido de la suce-:@0.108230:0.289773:0.595851:0.289773:0.595851:0.273276:0.108230:0.273276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión es el conjunto {(–1)  |     :@0.108230:0.307124:0.338674:0.307124:0.338674:0.290626:0.108230:0.290626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.284319:0.300840:0.289778:0.300840:0.289778:0.291239:0.284319:0.291239:0.000000
n:@0.304074:0.307240:0.313437:0.307240:0.313437:0.290771:0.304074:0.290771:0.000000
:@0.318099:0.306907:0.334147:0.306907:0.334147:0.292260:0.318099:0.292260:0.000000
N :@0.339564:0.306037:0.358507:0.306037:0.358507:0.293175:0.339564:0.293175:0.000000:0.000000
} = {–1, 1}. Este es un ejemplo de :@0.359070:0.307124:0.599865:0.307124:0.599865:0.290626:0.359070:0.290626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión que tiene un número finito de términos.:@0.108236:0.324475:0.459419:0.324475:0.459419:0.307977:0.108236:0.307977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 3.2., se muestra la gráfica de algunos puntos de la sucesión :@0.108236:0.359176:0.599938:0.359176:0.599938:0.342679:0.108236:0.342679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Nota que cuando   es par, se tiene   = (–1)  = 1; y cuando   es :@0.108236:0.376527:0.599937:0.376527:0.599937:0.360029:0.108236:0.360029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.114189:0.376643:0.121973:0.376643:0.121973:0.360174:0.114189:0.360174:0.000000
n:@0.122084:0.379872:0.127543:0.379872:0.127543:0.370271:0.122084:0.370271:0.000000
n:@0.271474:0.376643:0.280837:0.376643:0.280837:0.360174:0.271474:0.360174:0.000000
v:@0.392360:0.376643:0.400143:0.376643:0.400143:0.360174:0.392360:0.360174:0.000000
n:@0.400214:0.379872:0.405673:0.379872:0.405673:0.370271:0.400214:0.370271:0.000000
n:@0.456195:0.370243:0.461654:0.370243:0.461654:0.360642:0.456195:0.360642:0.000000
n:@0.567649:0.376643:0.577012:0.376643:0.577012:0.360174:0.567649:0.360174:0.000000
impar, resulta   = (–1)  = –1.:@0.108232:0.393878:0.317060:0.393878:0.317060:0.377380:0.108232:0.377380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.207410:0.393993:0.215193:0.393993:0.215193:0.377525:0.207410:0.377525:0.000000
n:@0.215308:0.397223:0.220766:0.397223:0.220766:0.387622:0.215308:0.387622:0.000000
n:@0.270758:0.387594:0.276217:0.387594:0.276217:0.377992:0.270758:0.377992:0.000000
Ejercicio resuelto:@0.108225:0.428955:0.226203:0.428955:0.226203:0.412168:0.108225:0.412168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera la sucesión ( ), definida como   =   + 1 + (–1) ,       .:@0.108225:0.445930:0.594335:0.445930:0.594335:0.429432:0.108225:0.429432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.270629:0.446046:0.279838:0.446046:0.279838:0.429577:0.270629:0.429577:0.000000
p:@0.279692:0.449276:0.285095:0.449276:0.285095:0.439674:0.279692:0.439674:0.000000
u:@0.406038:0.446046:0.415247:0.446046:0.415247:0.429577:0.406038:0.429577:0.000000
p:@0.415093:0.449276:0.420496:0.449276:0.420496:0.439674:0.415093:0.439674:0.000000
p:@0.439588:0.446046:0.448855:0.446046:0.448855:0.429577:0.439588:0.429577:0.000000
p:@0.526433:0.439646:0.531836:0.439646:0.531836:0.430045:0.526433:0.430045:0.000000
p:@0.542875:0.446046:0.552141:0.446046:0.552141:0.429577:0.542875:0.429577:0.000000
:@0.556283:0.445713:0.572331:0.445713:0.572331:0.431066:0.556283:0.431066:0.000000
N:@0.577243:0.444843:0.591580:0.444843:0.591580:0.431981:0.577243:0.431981:0.000000
Para   = 0, se tiene   = 2; con   = 1, se tiene   = 1. Si   = 2, resulta:@0.108234:0.463281:0.582099:0.463281:0.582099:0.446783:0.108234:0.446783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.142719:0.463397:0.151985:0.463397:0.151985:0.446928:0.142719:0.446928:0.000000
u:@0.244881:0.463397:0.254089:0.463397:0.254089:0.446928:0.244881:0.446928:0.000000
0:@0.254088:0.466559:0.259041:0.466559:0.259041:0.456941:0.254088:0.456941:0.000000
p:@0.324620:0.463397:0.333887:0.463397:0.333887:0.446928:0.324620:0.446928:0.000000
u:@0.426782:0.463397:0.435991:0.463397:0.435991:0.446928:0.426782:0.446928:0.000000
1:@0.435989:0.466626:0.440695:0.466626:0.440695:0.457025:0.435989:0.457025:0.000000
p:@0.491129:0.463397:0.500395:0.463397:0.500395:0.446928:0.491129:0.446928:0.000000
u:@0.108234:0.480747:0.117443:0.480747:0.117443:0.464279:0.108234:0.464279:0.000000
2:@0.117442:0.483977:0.122148:0.483977:0.122148:0.474376:0.117442:0.474376:0.000000
 = 4; para   = 3, se obtiene   = 3, y así sucesivamente. El recorrido :@0.122148:0.480632:0.599894:0.480632:0.599894:0.464134:0.122148:0.464134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.193853:0.480747:0.203119:0.480747:0.203119:0.464279:0.193853:0.464279:0.000000
u:@0.317359:0.480747:0.326567:0.480747:0.326567:0.464279:0.317359:0.464279:0.000000
3:@0.326592:0.483977:0.331298:0.483977:0.331298:0.474376:0.326592:0.474376:0.000000
de esta sucesión es el conjunto :@0.108226:0.497982:0.331718:0.497982:0.331718:0.481485:0.108226:0.481485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{  + 1 + (–1)  |      } = {2, 1, 4, 3, 6, …,   + 1 + (–1) , …}.:@0.145677:0.515333:0.558310:0.515333:0.558310:0.498835:0.145677:0.498835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.151534:0.515449:0.160800:0.515449:0.160800:0.498980:0.151534:0.498980:0.000000
p:@0.238396:0.509049:0.243798:0.509049:0.243798:0.499448:0.238396:0.499448:0.000000
p:@0.257091:0.515449:0.266358:0.515449:0.266358:0.498980:0.257091:0.498980:0.000000
:@0.270500:0.515116:0.286548:0.515116:0.286548:0.500469:0.270500:0.500469:0.000000
N:@0.291459:0.514246:0.305796:0.514246:0.305796:0.501384:0.291459:0.501384:0.000000
p:@0.435509:0.515449:0.444775:0.515449:0.444775:0.498980:0.435509:0.498980:0.000000
p:@0.522352:0.509049:0.527755:0.509049:0.527755:0.499448:0.522352:0.499448:0.000000
En la Figura 3.3., se muestra la gráfica de algunos puntos de la sucesión :@0.108235:0.550035:0.599936:0.550035:0.599936:0.533537:0.108235:0.533537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ).:@0.108235:0.567385:0.137350:0.567385:0.137350:0.550888:0.108235:0.550888:0.000000:0.000000:0.000000:0.000000
u:@0.114188:0.567501:0.123396:0.567501:0.123396:0.551032:0.114188:0.551032:0.000000
p:@0.123242:0.570731:0.128644:0.570731:0.128644:0.561130:0.123242:0.561130:0.000000
Sucesiones definidas por recurrencia:@0.108233:0.603484:0.401227:0.603484:0.401227:0.585802:0.108233:0.585802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) una sucesión real. En muchas situaciones, el término general :@0.108233:0.620192:0.599907:0.620192:0.599907:0.603694:0.108233:0.603694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.142892:0.620308:0.151869:0.620308:0.151869:0.603839:0.142892:0.603839:0.000000
n:@0.151716:0.623537:0.157174:0.623537:0.157174:0.613936:0.151716:0.613936:0.000000
de la sucesión ( ) se define como   = :@0.108240:0.637543:0.388280:0.637543:0.388280:0.621045:0.108240:0.621045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.217067:0.637658:0.226045:0.637658:0.226045:0.621190:0.217067:0.621190:0.000000
n:@0.225883:0.640888:0.231342:0.640888:0.231342:0.631287:0.225883:0.631287:0.000000
a:@0.354910:0.637658:0.363888:0.637658:0.363888:0.621190:0.354910:0.621190:0.000000
n:@0.363731:0.640888:0.369189:0.640888:0.369189:0.631287:0.363731:0.631287:0.000000
α:@0.388281:0.645129:0.398859:0.645129:0.398859:0.626130:0.388281:0.626130:0.000000
a:@0.398862:0.637658:0.407840:0.637658:0.407840:0.621190:0.398862:0.621190:0.000000
n:@0.407685:0.640888:0.413144:0.640888:0.413144:0.631287:0.407685:0.631287:0.000000
–1:@0.413144:0.640821:0.424218:0.640821:0.424218:0.631203:0.413144:0.631203:0.000000:0.000000
 +  , donde:@0.424218:0.637543:0.507327:0.637543:0.507327:0.621045:0.424218:0.621045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.443309:0.645129:0.453537:0.645129:0.453537:0.626130:0.443309:0.626130:0.000000
a:@0.108230:0.662137:0.117207:0.662137:0.117207:0.645669:0.108230:0.645669:0.000000
0:@0.117211:0.665299:0.122164:0.665299:0.122164:0.655681:0.117211:0.655681:0.000000
     está fijado,   :@0.122164:0.662022:0.261594:0.662022:0.261594:0.645525:0.122164:0.645525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.126326:0.661806:0.142374:0.661806:0.142374:0.647159:0.126326:0.647159:0.000000
R:@0.147301:0.660935:0.160606:0.660935:0.160606:0.648073:0.147301:0.648073:0.000000
α β :@0.244018:0.669609:0.275893:0.669609:0.275893:0.650610:0.244018:0.650610:0.000000:0.000000:0.000000:0.000000
,:@0.254600:0.662138:0.257452:0.662138:0.257452:0.645669:0.254600:0.645669:0.000000
:@0.275916:0.661806:0.291964:0.661806:0.291964:0.647159:0.275916:0.647159:0.000000
   constantes y      . En tal caso se dice :@0.292349:0.662022:0.599918:0.662022:0.599918:0.645525:0.292349:0.645525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.296895:0.660935:0.310200:0.660935:0.310200:0.648073:0.296895:0.648073:0.000000
n:@0.407256:0.662138:0.416619:0.662138:0.416619:0.645669:0.407256:0.645669:0.000000
:@0.420783:0.661806:0.436830:0.661806:0.436830:0.647159:0.420783:0.647159:0.000000
Z:@0.441751:0.660935:0.454043:0.660935:0.454043:0.648073:0.441751:0.648073:0.000000
+:@0.454043:0.653155:0.460344:0.653155:0.460344:0.643537:0.454043:0.643537:0.000000
que la sucesión ( ) está definida por recurrencia. :@0.108232:0.679373:0.461190:0.679373:0.461190:0.662875:0.108232:0.662875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.226211:0.679489:0.235188:0.679489:0.235188:0.663020:0.226211:0.663020:0.000000
n:@0.235035:0.682717:0.240494:0.682717:0.240494:0.673116:0.235035:0.673116:0.000000
Otras formas de sucesiones definidas por :@0.108237:0.714075:0.416054:0.714075:0.416054:0.697577:0.108237:0.697577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recurrencia:@0.418327:0.714292:0.501665:0.714292:0.501665:0.697577:0.418327:0.697577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se indican a :@0.501634:0.714075:0.599925:0.714075:0.599925:0.697577:0.501634:0.697577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación::@0.108237:0.731425:0.205604:0.731425:0.205604:0.714928:0.108237:0.714928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108237:0.758044:0.120509:0.758044:0.120509:0.741330:0.108237:0.741330:0.000000:0.000000
  Si   ≠ 0,    :@0.120509:0.757827:0.209120:0.757829:0.209120:0.741331:0.120509:0.741330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.147925:0.757943:0.156902:0.757943:0.156902:0.741474:0.147925:0.741474:0.000000
n:@0.156751:0.761173:0.162210:0.761173:0.162210:0.751572:0.156751:0.751572:0.000000
∀:@0.209119:0.765415:0.220692:0.765415:0.220692:0.746416:0.209119:0.746416:0.000000
n:@0.220700:0.757944:0.230063:0.757944:0.230063:0.741476:0.220700:0.741476:0.000000
    ,   =   +          , donde   ≠ 0 ha sido fijado:@0.230063:0.757829:0.573200:0.757829:0.573200:0.741331:0.230063:0.741331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.234204:0.757310:0.248857:0.757310:0.248857:0.743937:0.234204:0.743937:0.000000
N:@0.252999:0.756742:0.267336:0.756742:0.267336:0.743880:0.252999:0.743880:0.000000
a:@0.274233:0.757944:0.283210:0.757944:0.283210:0.741476:0.274233:0.741476:0.000000
n:@0.283056:0.761173:0.288515:0.761173:0.288515:0.751572:0.283056:0.751572:0.000000
α:@0.307607:0.765415:0.318184:0.765415:0.318184:0.746416:0.307607:0.746416:0.000000
a:@0.432488:0.757944:0.441466:0.757944:0.441466:0.741476:0.432488:0.741476:0.000000
0:@0.441463:0.761105:0.446417:0.761105:0.446417:0.751487:0.441463:0.751487:0.000000
previamente,  :@0.131970:0.785864:0.245743:0.785870:0.245743:0.769373:0.131970:0.769366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β :@0.228168:0.793457:0.260025:0.793457:0.260025:0.774458:0.228168:0.774458:0.000000:0.000000:0.000000:0.000000
,:@0.238749:0.785986:0.241601:0.785986:0.241601:0.769517:0.238749:0.769517:0.000000
:@0.260032:0.785653:0.276080:0.785653:0.276080:0.771007:0.260032:0.771007:0.000000
   constantes y      .:@0.276465:0.785870:0.447108:0.785870:0.447108:0.769373:0.276465:0.769373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.280992:0.784783:0.294297:0.784783:0.294297:0.771921:0.280992:0.771921:0.000000
n:@0.391297:0.785986:0.400660:0.785986:0.400660:0.769517:0.391297:0.769517:0.000000
:@0.404802:0.785653:0.420850:0.785653:0.420850:0.771007:0.404802:0.771007:0.000000
Z:@0.425761:0.784783:0.438053:0.784783:0.438053:0.771921:0.425761:0.771921:0.000000
+:@0.438053:0.777004:0.444353:0.777004:0.444353:0.767386:0.438053:0.767386:0.000000
2.:@0.108232:0.815511:0.120504:0.815511:0.120504:0.798797:0.108232:0.798797:0.000000:0.000000
  Si   ≠ 0,    :@0.120504:0.815295:0.209120:0.815291:0.209120:0.798793:0.120504:0.798797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.147918:0.815411:0.156895:0.815411:0.156895:0.798942:0.147918:0.798942:0.000000
n:@0.156751:0.818637:0.162210:0.818637:0.162210:0.809035:0.156751:0.809035:0.000000
∀:@0.209119:0.822878:0.220692:0.822878:0.220692:0.803879:0.209119:0.803879:0.000000
n:@0.220700:0.815407:0.230063:0.815407:0.230063:0.798938:0.220700:0.798938:0.000000
    , :@0.230063:0.815291:0.274233:0.815291:0.274233:0.798793:0.230063:0.798793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.234204:0.814773:0.248857:0.814773:0.248857:0.801399:0.234204:0.801399:0.000000
N:@0.252999:0.814204:0.267336:0.814204:0.267336:0.801342:0.252999:0.801342:0.000000
a:@0.274233:0.815407:0.283210:0.815407:0.283210:0.798938:0.274233:0.798938:0.000000
n:@0.283056:0.818637:0.288515:0.818637:0.288515:0.809035:0.283056:0.809035:0.000000
+1:@0.288515:0.818569:0.299769:0.818569:0.299769:0.808951:0.288515:0.808951:0.000000:0.000000
 = :@0.299768:0.815291:0.318860:0.815291:0.318860:0.798793:0.299768:0.798793:0.000000:0.000000:0.000000
α:@0.318859:0.822878:0.329437:0.822878:0.329437:0.803879:0.318859:0.803879:0.000000
a:@0.329442:0.815407:0.338419:0.815407:0.338419:0.798938:0.329442:0.798938:0.000000
n:@0.338265:0.818637:0.343724:0.818637:0.343724:0.809035:0.338265:0.809035:0.000000
 +      , donde  ,     :@0.343723:0.815291:0.500929:0.815291:0.500929:0.798793:0.343723:0.798793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.441454:0.815407:0.471259:0.815407:0.471259:0.798938:0.441454:0.798938:0.000000:0.000000:0.000000
0:@0.450431:0.818569:0.455384:0.818569:0.455384:0.808951:0.450431:0.808951:0.000000
1:@0.471257:0.818569:0.476211:0.818569:0.476211:0.808951:0.471257:0.808951:0.000000
:@0.480353:0.815074:0.496401:0.815074:0.496401:0.800427:0.480353:0.800427:0.000000
R:@0.501313:0.814204:0.514618:0.814204:0.514618:0.801342:0.501313:0.801342:0.000000
+:@0.514618:0.806425:0.520919:0.806425:0.520919:0.796807:0.514618:0.796807:0.000000
 dados,:@0.520918:0.815291:0.571276:0.815291:0.571276:0.798793:0.520918:0.798793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108238:0.839771:0.112380:0.839771:0.112380:0.823273:0.108238:0.823273:0.000000
α β :@0.131978:0.847357:0.163833:0.847357:0.163833:0.828358:0.131978:0.828358:0.000000:0.000000:0.000000:0.000000
,:@0.142559:0.839886:0.145410:0.839886:0.145410:0.823418:0.142559:0.823418:0.000000
 :@0.145410:0.839771:0.149552:0.839771:0.149552:0.823273:0.145410:0.823273:0.000000
:@0.163841:0.839554:0.179889:0.839554:0.179889:0.824907:0.163841:0.824907:0.000000
   constantes y      .:@0.180274:0.839771:0.350916:0.839771:0.350916:0.823273:0.180274:0.823273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.184802:0.838684:0.198106:0.838684:0.198106:0.825822:0.184802:0.825822:0.000000
n:@0.295105:0.839886:0.304468:0.839886:0.304468:0.823418:0.295105:0.823418:0.000000
:@0.308610:0.839554:0.324658:0.839554:0.324658:0.824907:0.308610:0.824907:0.000000
Z:@0.329569:0.838684:0.341860:0.838684:0.341860:0.825822:0.329569:0.825822:0.000000
+:@0.341860:0.830903:0.348161:0.830903:0.348161:0.821285:0.341860:0.821285:0.000000
3.:@0.108231:0.869412:0.120503:0.869412:0.120503:0.852697:0.108231:0.852697:0.000000:0.000000
  Si :@0.120504:0.869194:0.147918:0.869194:0.147918:0.852697:0.120504:0.852697:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.147918:0.869310:0.156895:0.869310:0.156895:0.852841:0.147918:0.852841:0.000000
n:@0.156751:0.872536:0.162210:0.872536:0.162210:0.862935:0.156751:0.862935:0.000000
+1:@0.162210:0.872468:0.173464:0.872468:0.173464:0.862850:0.162210:0.862850:0.000000:0.000000
 = :@0.173464:0.869192:0.192555:0.869192:0.192555:0.852694:0.173464:0.852694:0.000000:0.000000:0.000000
α:@0.192556:0.876778:0.203134:0.876778:0.203134:0.857779:0.192556:0.857779:0.000000
a:@0.203137:0.869307:0.212115:0.869307:0.212115:0.852839:0.203137:0.852839:0.000000
n:@0.211961:0.872536:0.217419:0.872536:0.217419:0.862935:0.211961:0.862935:0.000000
 + :@0.217418:0.869192:0.236510:0.869192:0.236510:0.852694:0.217418:0.852694:0.000000:0.000000:0.000000
β:@0.236510:0.876778:0.246737:0.876778:0.246737:0.857779:0.236510:0.857779:0.000000
a:@0.246740:0.869307:0.255718:0.869307:0.255718:0.852839:0.246740:0.852839:0.000000
n:@0.255564:0.872536:0.261022:0.872536:0.261022:0.862935:0.255564:0.862935:0.000000
–1:@0.261022:0.872468:0.272097:0.872468:0.272097:0.862850:0.261022:0.862850:0.000000:0.000000
, donde  ,     :@0.272097:0.869192:0.389502:0.869192:0.389502:0.852694:0.272097:0.852694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.330025:0.869307:0.359831:0.869307:0.359831:0.852839:0.330025:0.852839:0.000000:0.000000:0.000000
0:@0.339004:0.872468:0.343957:0.872468:0.343957:0.862850:0.339004:0.862850:0.000000
1:@0.359831:0.872468:0.364784:0.872468:0.364784:0.862850:0.359831:0.862850:0.000000
:@0.368926:0.868975:0.384974:0.868975:0.384974:0.854328:0.368926:0.854328:0.000000
R:@0.389886:0.868105:0.403191:0.868105:0.403191:0.855243:0.389886:0.855243:0.000000
+:@0.403191:0.860324:0.409492:0.860324:0.409492:0.850706:0.403191:0.850706:0.000000
 dados,   :@0.409491:0.869192:0.481566:0.869192:0.481566:0.852694:0.409491:0.852694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α β :@0.463990:0.876778:0.495847:0.876778:0.495847:0.857779:0.463990:0.857779:0.000000:0.000000:0.000000:0.000000
,:@0.474573:0.869307:0.477424:0.869307:0.477424:0.852839:0.474573:0.852839:0.000000
:@0.495853:0.868975:0.511901:0.868975:0.511901:0.854328:0.495853:0.854328:0.000000
 :@0.512287:0.869192:0.516429:0.869192:0.516429:0.852694:0.512287:0.852694:0.000000
R:@0.516814:0.868105:0.530119:0.868105:0.530119:0.855243:0.516814:0.855243:0.000000
 :@0.108233:0.893670:0.112375:0.893670:0.112375:0.877172:0.108233:0.877172:0.000000
constantes y      .:@0.131968:0.893670:0.280646:0.893670:0.280646:0.877172:0.131968:0.877172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.224824:0.893786:0.234187:0.893786:0.234187:0.877317:0.224824:0.877317:0.000000
:@0.238329:0.893453:0.254377:0.893453:0.254377:0.878806:0.238329:0.878806:0.000000
Z:@0.259299:0.892583:0.271591:0.892583:0.271591:0.879721:0.259299:0.879721:0.000000
+:@0.271591:0.884804:0.277892:0.884804:0.277892:0.875186:0.271591:0.875186:0.000000
4.:@0.108241:0.923311:0.120513:0.923311:0.120513:0.906596:0.108241:0.906596:0.000000:0.000000
  Si   > 0,    :@0.120514:0.923094:0.209120:0.923091:0.209120:0.906593:0.120514:0.906596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.147928:0.923210:0.156905:0.923210:0.156905:0.906741:0.147928:0.906741:0.000000
n:@0.156751:0.926436:0.162210:0.926436:0.162210:0.916835:0.156751:0.916835:0.000000
∀:@0.209119:0.930677:0.220692:0.930677:0.220692:0.911678:0.209119:0.911678:0.000000
n:@0.220700:0.923207:0.230063:0.923207:0.230063:0.906738:0.220700:0.906738:0.000000
    , :@0.230063:0.923091:0.274233:0.923091:0.274233:0.906593:0.230063:0.906593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.234204:0.922572:0.248857:0.922572:0.248857:0.909199:0.234204:0.909199:0.000000
N:@0.252999:0.922004:0.267336:0.922004:0.267336:0.909142:0.252999:0.909142:0.000000
a:@0.274233:0.923207:0.283210:0.923207:0.283210:0.906738:0.274233:0.906738:0.000000
n:@0.283056:0.926436:0.288515:0.926436:0.288515:0.916835:0.283056:0.916835:0.000000
+1:@0.288515:0.926368:0.299769:0.926368:0.299769:0.916750:0.288515:0.916750:0.000000:0.000000
 = :@0.299768:0.923091:0.318860:0.923091:0.318860:0.906593:0.299768:0.906593:0.000000:0.000000:0.000000
α:@0.318859:0.930677:0.329437:0.930677:0.329437:0.911678:0.318859:0.911678:0.000000
a:@0.329442:0.923207:0.338419:0.923207:0.338419:0.906738:0.329442:0.906738:0.000000
n:@0.338265:0.926436:0.343724:0.926436:0.343724:0.916835:0.338265:0.916835:0.000000
 +           donde  ,     :@0.343723:0.923091:0.514741:0.923091:0.514741:0.906593:0.343723:0.906593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.455267:0.923207:0.485072:0.923207:0.485072:0.906738:0.455267:0.906738:0.000000:0.000000:0.000000
0:@0.464243:0.926368:0.469196:0.926368:0.469196:0.916750:0.464243:0.916750:0.000000
1:@0.485072:0.926368:0.490025:0.926368:0.490025:0.916750:0.485072:0.916750:0.000000
:@0.494166:0.922874:0.510214:0.922874:0.510214:0.908227:0.494166:0.908227:0.000000
R:@0.515127:0.922004:0.528432:0.922004:0.528432:0.909142:0.515127:0.909142:0.000000
+:@0.528432:0.914224:0.534733:0.914224:0.534733:0.904606:0.528432:0.904606:0.000000
 dados,:@0.534732:0.923091:0.585090:0.923091:0.585090:0.906593:0.534732:0.906593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108238:0.947570:0.112380:0.947570:0.112380:0.931072:0.108238:0.931072:0.000000
α β :@0.131976:0.955156:0.163833:0.955156:0.163833:0.936157:0.131976:0.936157:0.000000:0.000000:0.000000:0.000000
,:@0.142559:0.947685:0.145410:0.947685:0.145410:0.931217:0.142559:0.931217:0.000000
 :@0.145410:0.947570:0.149552:0.947570:0.149552:0.931072:0.145410:0.931072:0.000000
:@0.163841:0.947353:0.179889:0.947353:0.179889:0.932706:0.163841:0.932706:0.000000
   constantes y      .:@0.180274:0.947570:0.350916:0.947570:0.350916:0.931072:0.180274:0.931072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.184800:0.946483:0.198105:0.946483:0.198105:0.933621:0.184800:0.933621:0.000000
n:@0.295105:0.947685:0.304468:0.947685:0.304468:0.931217:0.295105:0.931217:0.000000
:@0.308610:0.947353:0.324658:0.947353:0.324658:0.932706:0.308610:0.932706:0.000000
Z:@0.329569:0.946483:0.341860:0.946483:0.341860:0.933621:0.329569:0.933621:0.000000
+:@0.341860:0.938703:0.348161:0.938703:0.348161:0.929085:0.341860:0.929085:0.000000
1:@0.129626:0.113451:0.138122:0.113451:0.138122:0.096953:0.129626:0.096953:0.000000
2:@0.129626:0.129789:0.138122:0.129789:0.138122:0.113292:0.129626:0.113292:0.000000
1:@0.138002:0.146596:0.146498:0.146596:0.146498:0.130098:0.138002:0.130098:0.000000
2:@0.138002:0.162934:0.146498:0.162934:0.146498:0.146437:0.138002:0.146437:0.000000
1:@0.190291:0.146596:0.198787:0.146596:0.198787:0.130098:0.190291:0.130098:0.000000
n:@0.189867:0.163050:0.199230:0.163050:0.199230:0.146581:0.189867:0.146581:0.000000
1:@0.508520:0.146596:0.517016:0.146596:0.517016:0.130098:0.508520:0.130098:0.000000
n:@0.508096:0.163050:0.517459:0.163050:0.517459:0.146581:0.508096:0.146581:0.000000
1 1 1:@0.158105:0.113451:0.216384:0.113451:0.216384:0.096953:0.158105:0.096953:0.000000:0.000000:0.000000:0.000000:0.000000
3 4 5:@0.158105:0.129789:0.216384:0.129789:0.216384:0.113292:0.158105:0.113292:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.347992:0.757885:0.358219:0.757885:0.358219:0.738886:0.347992:0.738886:0.000000
a:@0.340428:0.766759:0.349406:0.766759:0.349406:0.750291:0.340428:0.750291:0.000000
n:@0.349251:0.769988:0.354710:0.769988:0.354710:0.760387:0.349251:0.760387:0.000000
–1:@0.354710:0.769920:0.365784:0.769920:0.365784:0.760302:0.354710:0.760302:0.000000:0.000000
β:@0.375389:0.923245:0.385616:0.923245:0.385616:0.904245:0.375389:0.904245:0.000000
a:@0.367825:0.932119:0.376802:0.932119:0.376802:0.915650:0.367825:0.915650:0.000000
n:@0.376648:0.935348:0.382107:0.935348:0.382107:0.925747:0.376648:0.925747:0.000000
–1:@0.382107:0.935280:0.393181:0.935280:0.393181:0.925662:0.382107:0.925662:0.000000:0.000000
β:@0.366233:0.815404:0.376461:0.815404:0.376461:0.796405:0.366233:0.796405:0.000000
a:@0.364208:0.824278:0.373186:0.824278:0.373186:0.807810:0.364208:0.807810:0.000000
n:@0.373031:0.827507:0.378490:0.827507:0.378490:0.817906:0.373031:0.817906:0.000000
p:@0.629006:0.286953:0.640487:0.286953:0.640487:0.276928:0.629006:0.276928:0.000000
 :@0.640487:0.287660:0.643368:0.287660:0.643368:0.276184:0.640487:0.276184:0.000000
Figura 3.1.:@0.643368:0.287660:0.691937:0.287660:0.691937:0.276184:0.643368:0.276184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.629006:0.717039:0.640487:0.717039:0.640487:0.707014:0.629006:0.707014:0.000000
 :@0.640487:0.717747:0.643368:0.717747:0.643368:0.706270:0.640487:0.706270:0.000000
Figura 3.3.:@0.643368:0.717747:0.691937:0.717747:0.691937:0.706270:0.643368:0.706270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.629006:0.495310:0.640487:0.495310:0.640487:0.485285:0.629006:0.485285:0.000000
 :@0.640487:0.496018:0.643368:0.496018:0.643368:0.484541:0.640487:0.484541:0.000000
Figura 3.2.:@0.643368:0.496018:0.691937:0.496018:0.691937:0.484541:0.643368:0.484541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.665166:0.260797:0.671077:0.260797:0.671077:0.249320:0.665166:0.249320:0.000000
0:@0.665166:0.690884:0.671077:0.690884:0.671077:0.679408:0.665166:0.679408:0.000000
0:@0.637795:0.430645:0.644813:0.430645:0.644813:0.417017:0.637795:0.417017:0.000000
1:@0.660141:0.112657:0.666051:0.112657:0.666051:0.101180:0.660141:0.101180:0.000000
6:@0.660141:0.578381:0.666051:0.578381:0.666051:0.566904:0.660141:0.566904:0.000000
5:@0.660141:0.596205:0.666051:0.596205:0.666051:0.584728:0.660141:0.584728:0.000000
4:@0.660141:0.614028:0.666051:0.614028:0.666051:0.602551:0.660141:0.602551:0.000000
3:@0.660141:0.631852:0.666051:0.631852:0.666051:0.620375:0.660141:0.620375:0.000000
2:@0.660141:0.649675:0.666051:0.649675:0.666051:0.638198:0.660141:0.638198:0.000000
1:@0.660141:0.667499:0.666051:0.667499:0.666051:0.656022:0.660141:0.656022:0.000000
1:@0.633468:0.389683:0.640486:0.389683:0.640486:0.376055:0.633468:0.376055:0.000000
–1:@0.625781:0.460967:0.641473:0.460967:0.641473:0.447339:0.625781:0.447339:0.000000:0.000000
y:@0.663000:0.096263:0.668348:0.096263:0.668348:0.084806:0.663000:0.084806:0.000000
y:@0.663000:0.559473:0.668348:0.559473:0.668348:0.548016:0.663000:0.548016:0.000000
y:@0.634007:0.363611:0.640357:0.363611:0.640357:0.350006:0.634007:0.350006:0.000000
x:@0.844436:0.263123:0.849636:0.263123:0.849636:0.251666:0.844436:0.251666:0.000000
x:@0.844436:0.693210:0.849636:0.693210:0.849636:0.681754:0.844436:0.681754:0.000000
x:@0.847299:0.432987:0.853473:0.432987:0.853473:0.419383:0.847299:0.419383:0.000000
1:@0.697695:0.263237:0.703605:0.263237:0.703605:0.251761:0.697695:0.251761:0.000000
1:@0.697695:0.693325:0.703605:0.693325:0.703605:0.681848:0.697695:0.681848:0.000000
1:@0.692950:0.432390:0.698861:0.432390:0.698861:0.420913:0.692950:0.420913:0.000000
2:@0.740433:0.432390:0.746344:0.432390:0.746344:0.420913:0.740433:0.420913:0.000000
3:@0.787916:0.432390:0.793827:0.432390:0.793827:0.420913:0.787916:0.420913:0.000000
4:@0.835399:0.432390:0.841310:0.432390:0.841310:0.420913:0.835399:0.420913:0.000000
2:@0.721135:0.263237:0.727045:0.263237:0.727045:0.251761:0.721135:0.251761:0.000000
2:@0.721135:0.693325:0.727045:0.693325:0.727045:0.681848:0.721135:0.681848:0.000000
3:@0.745044:0.263237:0.750954:0.263237:0.750954:0.251761:0.745044:0.251761:0.000000
3:@0.745044:0.693325:0.750954:0.693325:0.750954:0.681848:0.745044:0.681848:0.000000
4:@0.768497:0.263237:0.774407:0.263237:0.774407:0.251761:0.768497:0.251761:0.000000
4:@0.768497:0.693325:0.774407:0.693325:0.774407:0.681848:0.768497:0.681848:0.000000
5:@0.792406:0.263237:0.798316:0.263237:0.798316:0.251761:0.792406:0.251761:0.000000
5:@0.792406:0.693325:0.798316:0.693325:0.798316:0.681848:0.792406:0.681848:0.000000
1:@0.659760:0.177265:0.665656:0.177265:0.665656:0.165818:0.659760:0.165818:0.000000
2:@0.659760:0.189687:0.665656:0.189687:0.665656:0.178239:0.659760:0.178239:0.000000
1:@0.659760:0.213342:0.665656:0.213342:0.665656:0.201895:0.659760:0.201895:0.000000
4:@0.659760:0.225764:0.665656:0.225764:0.665656:0.214316:0.659760:0.214316:0.000000
Glosario:@0.684804:0.813065:0.752269:0.813065:0.752269:0.795382:0.684804:0.795382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito. :@0.685042:0.839880:0.740978:0.839880:0.740978:0.824618:0.685042:0.824618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor mayor que :@0.740151:0.839682:0.850439:0.839682:0.850439:0.824618:0.740151:0.824618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier cantidad asignable.:@0.638516:0.855524:0.824967:0.855524:0.824967:0.840460:0.638516:0.840460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recurrencia. :@0.638516:0.871564:0.721822:0.871564:0.721822:0.856302:0.638516:0.856302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad de aque-:@0.721699:0.871366:0.846676:0.871366:0.846676:0.856302:0.721699:0.856302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llas secuencias en las que cual-:@0.638516:0.887208:0.830595:0.887208:0.830595:0.872144:0.638516:0.872144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quier término se puede calcular :@0.638516:0.903050:0.843455:0.903050:0.843455:0.887986:0.638516:0.887986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conociendo los precedentes.:@0.638516:0.918892:0.820428:0.918892:0.820428:0.903828:0.638516:0.903828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.816798:0.643474:0.815289:0.638272:0.793144:0.626867:0.794653:0.000000
c:@0.635451:0.827767:0.646050:0.826365:0.640968:0.804730:0.630369:0.806133:0.000000
b:@0.645827:0.820550:0.658540:0.818867:0.653408:0.797024:0.640695:0.798707:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000