﻿114:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.404236:0.107262:0.522215:0.107262:0.522215:0.090475:0.404236:0.090475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la sucesión ( ) definida como sigue:   = –1 y:@0.404236:0.124237:0.839410:0.124237:0.839410:0.107739:0.404236:0.107739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.597041:0.124353:0.606018:0.124353:0.606018:0.107884:0.597041:0.107884:0.000000
m:@0.605863:0.127582:0.614489:0.127582:0.614489:0.117981:0.605863:0.117981:0.000000
a:@0.775429:0.124353:0.784406:0.124353:0.784406:0.107884:0.775429:0.107884:0.000000
0:@0.784405:0.127515:0.789358:0.127515:0.789358:0.117897:0.784405:0.117897:0.000000
a:@0.404227:0.141703:0.413205:0.141703:0.413205:0.125235:0.404227:0.125235:0.000000
m:@0.413060:0.144933:0.421686:0.144933:0.421686:0.135332:0.413060:0.135332:0.000000
 = 2:@0.421685:0.141588:0.449273:0.141588:0.449273:0.125090:0.421685:0.125090:0.000000:0.000000:0.000000:0.000000
a:@0.449273:0.141703:0.458251:0.141703:0.458251:0.125235:0.449273:0.125235:0.000000
m:@0.458095:0.144933:0.466721:0.144933:0.466721:0.135332:0.458095:0.135332:0.000000
–1:@0.466721:0.144866:0.477795:0.144866:0.477795:0.135248:0.466721:0.135248:0.000000:0.000000
 + 1,         . Determinemos, si es posible, el término :@0.477796:0.141588:0.872534:0.141588:0.872534:0.125090:0.477796:0.125090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.524707:0.141703:0.539503:0.141703:0.539503:0.125235:0.524707:0.125235:0.000000
:@0.543645:0.141371:0.559693:0.141371:0.559693:0.126724:0.543645:0.126724:0.000000
Z:@0.564604:0.140501:0.576895:0.140501:0.576895:0.127639:0.564604:0.127639:0.000000
+:@0.576895:0.132721:0.583196:0.132721:0.583196:0.123103:0.576895:0.123103:0.000000
general de esta sucesión. Tenemos para   = 1,  = 2, :@0.404240:0.158939:0.784496:0.158939:0.784496:0.142441:0.404240:0.142441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.685935:0.159054:0.700731:0.159054:0.700731:0.142585:0.685935:0.142585:0.000000
m :@0.735215:0.159054:0.754153:0.159054:0.754153:0.142585:0.735215:0.142585:0.000000:0.000000
…:@0.784496:0.159054:0.798598:0.159054:0.798598:0.142585:0.784496:0.142585:0.000000
a:@0.404240:0.183533:0.413218:0.183533:0.413218:0.167064:0.404240:0.167064:0.000000
1:@0.413214:0.186762:0.417920:0.186762:0.417920:0.177161:0.413214:0.177161:0.000000
 = 2:@0.417920:0.183418:0.445507:0.183418:0.445507:0.166921:0.417920:0.166921:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.183534:0.454485:0.183534:0.454485:0.167065:0.445507:0.167065:0.000000
1–1:@0.454483:0.186695:0.470511:0.186695:0.470511:0.177077:0.454483:0.177077:0.000000:0.000000:0.000000
 + 1 = 2  + 1 = 2 × (–1) + 1 = –1,:@0.470512:0.183418:0.713217:0.183418:0.713217:0.166921:0.470512:0.166921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.525688:0.183534:0.534665:0.183534:0.534665:0.167065:0.525688:0.167065:0.000000
0:@0.534664:0.186695:0.539617:0.186695:0.539617:0.177077:0.534664:0.177077:0.000000
a:@0.404240:0.204442:0.413218:0.204442:0.413218:0.187973:0.404240:0.187973:0.000000
2:@0.413214:0.207678:0.417920:0.207678:0.417920:0.198076:0.413214:0.198076:0.000000
 = 2:@0.417920:0.204332:0.445507:0.204332:0.445507:0.187834:0.417920:0.187834:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.204448:0.454485:0.204448:0.454485:0.187979:0.445507:0.187979:0.000000
2–1:@0.454483:0.207610:0.470511:0.207610:0.470511:0.197992:0.454483:0.197992:0.000000:0.000000:0.000000
 + 1 = 2  + 1 = 2 × (–1) + 1 = –1,:@0.470512:0.204332:0.713217:0.204332:0.713217:0.187834:0.470512:0.187834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.525688:0.204448:0.534665:0.204448:0.534665:0.187979:0.525688:0.187979:0.000000
1:@0.534664:0.207610:0.539617:0.207610:0.539617:0.197992:0.534664:0.197992:0.000000
:@0.404240:0.224271:0.413873:0.224271:0.413873:0.210824:0.404240:0.210824:0.000000
a:@0.404240:0.246263:0.413218:0.246263:0.413218:0.229794:0.404240:0.229794:0.000000
m:@0.413060:0.249507:0.421686:0.249507:0.421686:0.239905:0.413060:0.239905:0.000000
 = 2:@0.421685:0.246163:0.449273:0.246163:0.449273:0.229665:0.421685:0.229665:0.000000:0.000000:0.000000:0.000000
a:@0.449273:0.246278:0.458251:0.246278:0.458251:0.229809:0.449273:0.229809:0.000000
m:@0.458095:0.249507:0.466721:0.249507:0.466721:0.239905:0.458095:0.239905:0.000000
–1:@0.466721:0.249439:0.477795:0.249439:0.477795:0.239821:0.466721:0.239821:0.000000:0.000000
 + 1 = 2 × (–1) + 1 = –1.:@0.477796:0.246163:0.651395:0.246163:0.651395:0.229665:0.477796:0.229665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Claramente, ( ) es una :@0.404241:0.280864:0.582502:0.280864:0.582502:0.264366:0.404241:0.264366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.501646:0.280980:0.510624:0.280980:0.510624:0.264511:0.501646:0.264511:0.000000
m:@0.510455:0.284208:0.519081:0.284208:0.519081:0.274607:0.510455:0.274607:0.000000
sucesión:@0.584371:0.281081:0.647638:0.281081:0.647638:0.264366:0.584371:0.264366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con término general constante e :@0.647638:0.280864:0.895928:0.280864:0.895928:0.264366:0.647638:0.264366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a –1, esto es,   = –1   :@0.404240:0.298215:0.602680:0.298215:0.602680:0.281717:0.404240:0.281717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.534722:0.298330:0.543700:0.298330:0.543700:0.281862:0.534722:0.281862:0.000000
m:@0.543541:0.301559:0.552167:0.301559:0.552167:0.291958:0.543541:0.291958:0.000000
∀:@0.602680:0.305801:0.614253:0.305801:0.614253:0.286802:0.602680:0.286802:0.000000
m:@0.614351:0.298330:0.629147:0.298330:0.629147:0.281862:0.614351:0.281862:0.000000
   :@0.629243:0.298215:0.652363:0.298215:0.652363:0.281717:0.629243:0.281717:0.000000:0.000000:0.000000
:@0.633481:0.297696:0.648133:0.297696:0.648133:0.284323:0.633481:0.284323:0.000000
Z:@0.652460:0.297246:0.665310:0.297246:0.665310:0.283799:0.652460:0.283799:0.000000
+:@0.665406:0.289347:0.671707:0.289347:0.671707:0.279729:0.665406:0.279729:0.000000
.:@0.671707:0.298215:0.674462:0.298215:0.674462:0.281717:0.671707:0.281717:0.000000
Ejercicio resuelto:@0.404228:0.333292:0.522206:0.333292:0.522206:0.316505:0.404228:0.316505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la sucesión ( ), definida como sigue:   =      y:@0.404228:0.350267:0.835957:0.350267:0.835957:0.333769:0.404228:0.333769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.597032:0.350383:0.606010:0.350383:0.606010:0.333914:0.597032:0.333914:0.000000
k:@0.605902:0.353611:0.610709:0.353611:0.610709:0.344010:0.605902:0.344010:0.000000
a:@0.774405:0.350383:0.783382:0.350383:0.783382:0.333914:0.774405:0.333914:0.000000
0:@0.783380:0.353544:0.788333:0.353544:0.788333:0.343926:0.783380:0.343926:0.000000
a:@0.404242:0.374862:0.413220:0.374862:0.413220:0.358393:0.404242:0.358393:0.000000
k:@0.413098:0.378091:0.417905:0.378091:0.417905:0.368490:0.413098:0.368490:0.000000
 = 2:@0.417904:0.374745:0.443797:0.374745:0.443797:0.358248:0.417904:0.358248:0.000000:0.000000:0.000000:0.000000
a:@0.443797:0.374861:0.452775:0.374861:0.452775:0.358392:0.443797:0.358392:0.000000
k:@0.452649:0.378091:0.457456:0.378091:0.457456:0.368490:0.452649:0.368490:0.000000
–1:@0.457456:0.378023:0.468531:0.378023:0.468531:0.368405:0.457456:0.368405:0.000000:0.000000
 + 1,        . Determinemos, si es posible, el término general:@0.468530:0.374745:0.891809:0.374745:0.891809:0.358248:0.468530:0.358248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.507061:0.374861:0.515306:0.374861:0.515306:0.358392:0.507061:0.358392:0.000000
:@0.518562:0.374529:0.534610:0.374529:0.534610:0.359882:0.518562:0.359882:0.000000
Z:@0.538678:0.373659:0.550969:0.373659:0.550969:0.360796:0.538678:0.360796:0.000000
+:@0.550969:0.365878:0.557270:0.365878:0.557270:0.356260:0.550969:0.356260:0.000000
de esta sucesión. Tenemos::@0.404226:0.399224:0.594178:0.399224:0.594178:0.382727:0.404226:0.382727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.404226:0.423819:0.413204:0.423819:0.413204:0.407350:0.404226:0.407350:0.000000
1:@0.413214:0.427048:0.417920:0.427048:0.417920:0.417446:0.413214:0.417446:0.000000
 = 2  + 1 = 2 ×      + 1 = 2,:@0.417920:0.423704:0.608203:0.423704:0.608203:0.407206:0.417920:0.407206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.423819:0.454485:0.423819:0.454485:0.407350:0.445507:0.407350:0.000000
0:@0.454483:0.426980:0.459436:0.426980:0.459436:0.417362:0.454483:0.417362:0.000000
a:@0.404242:0.451855:0.413220:0.451855:0.413220:0.435386:0.404242:0.435386:0.000000
2:@0.413214:0.455091:0.417920:0.455091:0.417920:0.445489:0.413214:0.445489:0.000000
 = 2  + 1 = 2 × 2 + 1 = 2  + 1 = 5,:@0.417920:0.451746:0.660257:0.451746:0.660257:0.435249:0.417920:0.435249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.451862:0.454485:0.451862:0.454485:0.435393:0.445507:0.435393:0.000000
1:@0.454483:0.455023:0.459436:0.455023:0.459436:0.445405:0.454483:0.445405:0.000000
2:@0.597375:0.445393:0.602328:0.445393:0.602328:0.435775:0.597375:0.435775:0.000000
a:@0.404241:0.474563:0.413219:0.474563:0.413219:0.458094:0.404241:0.458094:0.000000
3:@0.413214:0.477787:0.417920:0.477787:0.417920:0.468186:0.413214:0.468186:0.000000
 = 2  + 1 = 2 × 5 + 1 = 2(2  + 1) + 1 = 2  + 2 + 1 = 11,:@0.417920:0.474443:0.804458:0.474443:0.804458:0.457945:0.417920:0.457945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.474559:0.454485:0.474559:0.454485:0.458090:0.445507:0.458090:0.000000
2:@0.454483:0.477720:0.459436:0.477720:0.459436:0.468102:0.454483:0.468102:0.000000
2:@0.611824:0.468090:0.616777:0.468090:0.616777:0.458472:0.611824:0.458472:0.000000
3:@0.705491:0.468090:0.710444:0.468090:0.710444:0.458472:0.705491:0.458472:0.000000
a:@0.404241:0.497259:0.413219:0.497259:0.413219:0.480791:0.404241:0.480791:0.000000
4:@0.413214:0.500484:0.417920:0.500484:0.417920:0.490883:0.413214:0.490883:0.000000
 = 2  + 1 = 2 × 11 + 1 = 2(2  + 2 + 1) + 1 = 2  + 2  + 2 + 1 = 23,:@0.417920:0.497139:0.873082:0.497139:0.873082:0.480641:0.417920:0.480641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.445507:0.497254:0.454485:0.497254:0.454485:0.480786:0.445507:0.480786:0.000000
3:@0.454483:0.500417:0.459436:0.500417:0.459436:0.490799:0.454483:0.490799:0.000000
3:@0.620319:0.490787:0.625272:0.490787:0.625272:0.481169:0.620319:0.481169:0.000000
4:@0.741574:0.490787:0.746527:0.490787:0.746527:0.481169:0.741574:0.481169:0.000000
2:@0.774114:0.490787:0.779067:0.490787:0.779067:0.481169:0.774114:0.481169:0.000000
:@0.404243:0.517078:0.413876:0.517078:0.413876:0.503631:0.404243:0.503631:0.000000
a:@0.404243:0.535513:0.413220:0.535513:0.413220:0.519044:0.404243:0.519044:0.000000
k:@0.413098:0.538750:0.417905:0.538750:0.417905:0.529149:0.413098:0.529149:0.000000
 = 2:@0.417904:0.535405:0.444221:0.535405:0.444221:0.518907:0.417904:0.518907:0.000000:0.000000:0.000000:0.000000
a:@0.444221:0.535520:0.453198:0.535520:0.453198:0.519052:0.444221:0.519052:0.000000
k:@0.453098:0.538750:0.457905:0.538750:0.457905:0.529149:0.453098:0.529149:0.000000
–1:@0.457905:0.538683:0.468980:0.538683:0.468980:0.529064:0.457905:0.529064:0.000000:0.000000
 + 1 = 2  + 2  + 2  + … + 1 = 3 × 2  – 1,       con   ≥ 1.:@0.468979:0.535405:0.891743:0.535405:0.891743:0.518907:0.468979:0.518907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.521639:0.529120:0.526446:0.529120:0.526446:0.519519:0.521639:0.519519:0.000000
k:@0.552776:0.529120:0.557583:0.529120:0.557583:0.519519:0.552776:0.519519:0.000000
–2:@0.557583:0.529053:0.568658:0.529053:0.568658:0.519435:0.557583:0.519435:0.000000:0.000000
k:@0.594989:0.529120:0.599796:0.529120:0.599796:0.519519:0.594989:0.519519:0.000000
–3:@0.599796:0.529053:0.610871:0.529053:0.610871:0.519435:0.599796:0.519435:0.000000:0.000000
k:@0.722741:0.529120:0.727548:0.529120:0.727548:0.519519:0.722741:0.519519:0.000000
–1:@0.727548:0.529053:0.738623:0.529053:0.738623:0.519435:0.727548:0.519435:0.000000:0.000000
k:@0.770892:0.535520:0.779137:0.535520:0.779137:0.519052:0.770892:0.519052:0.000000
:@0.782864:0.534886:0.797516:0.534886:0.797516:0.521513:0.782864:0.521513:0.000000
Z:@0.801207:0.534436:0.814057:0.534436:0.814057:0.520989:0.801207:0.520989:0.000000
+:@0.814161:0.526538:0.820462:0.526538:0.820462:0.516920:0.814161:0.516920:0.000000
k:@0.854426:0.535520:0.862671:0.535520:0.862671:0.519052:0.854426:0.519052:0.000000
 :@0.404235:0.552755:0.408377:0.552755:0.408377:0.536258:0.404235:0.536258:0.000000
Ejercicio resuelto:@0.404235:0.570482:0.522214:0.570482:0.522214:0.553695:0.404235:0.553695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión real definida como:   = 1 y   =:@0.404235:0.587457:0.747596:0.587457:0.747596:0.570959:0.404235:0.570959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.437776:0.587573:0.443440:0.587573:0.443440:0.571104:0.437776:0.571104:0.000000
j:@0.443268:0.590802:0.445514:0.590802:0.445514:0.581201:0.443268:0.581201:0.000000
t:@0.671972:0.587573:0.677636:0.587573:0.677636:0.571104:0.671972:0.571104:0.000000
0:@0.677500:0.590735:0.682453:0.590735:0.682453:0.581117:0.677500:0.581117:0.000000
t:@0.725124:0.587573:0.730788:0.587573:0.730788:0.571104:0.725124:0.571104:0.000000
j:@0.730613:0.590802:0.732859:0.590802:0.732859:0.581201:0.730613:0.581201:0.000000
j:@0.404231:0.622274:0.408084:0.622274:0.408084:0.605805:0.404231:0.605805:0.000000
   :@0.408181:0.622158:0.431306:0.622158:0.431306:0.605661:0.408181:0.605661:0.000000:0.000000:0.000000
:@0.412423:0.621640:0.427076:0.621640:0.427076:0.608267:0.412423:0.608267:0.000000
Z:@0.431402:0.621190:0.444252:0.621190:0.444252:0.607743:0.431402:0.607743:0.000000
+:@0.444348:0.613292:0.450649:0.613292:0.450649:0.603674:0.444348:0.603674:0.000000
.:@0.450649:0.622158:0.453404:0.622158:0.453404:0.605661:0.450649:0.605661:0.000000
Determinemos el término general de esta sucesión, siempre que sea :@0.404239:0.656860:0.895925:0.656860:0.895925:0.640362:0.404239:0.640362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posible. Tenemos::@0.404239:0.674211:0.530133:0.674211:0.530133:0.657713:0.404239:0.657713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.404239:0.698805:0.409903:0.698805:0.409903:0.682337:0.404239:0.682337:0.000000
1:@0.409900:0.701967:0.414853:0.701967:0.414853:0.692349:0.409900:0.692349:0.000000
 = –      + 1 = –      + 1 = 0,      = –1,:@0.414852:0.698689:0.668998:0.698689:0.668998:0.682191:0.414852:0.682191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.617542:0.698805:0.623206:0.698805:0.623206:0.682336:0.617542:0.682336:0.000000
2:@0.623203:0.701967:0.628157:0.701967:0.628157:0.692349:0.623203:0.692349:0.000000
t:@0.404235:0.747763:0.409899:0.747763:0.409899:0.731294:0.404235:0.731294:0.000000
3:@0.409900:0.750924:0.414853:0.750924:0.414853:0.741306:0.409900:0.741306:0.000000
 = –      + 1 = –       + 1 = 2,      = –      + 1 = –      + 1 =      ,:@0.414852:0.747647:0.830634:0.747647:0.830634:0.731149:0.414852:0.731149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.621684:0.747763:0.627348:0.747763:0.627348:0.731294:0.621684:0.731294:0.000000
4:@0.627345:0.750924:0.632298:0.750924:0.632298:0.741306:0.627345:0.741306:0.000000
t:@0.404236:0.796721:0.409900:0.796721:0.409900:0.780252:0.404236:0.780252:0.000000
5:@0.409900:0.799882:0.414853:0.799882:0.414853:0.790264:0.409900:0.790264:0.000000
 = –      + 1 = –       + 1 = –1,      = –      + 1 = –       + 1 = 2,:@0.414852:0.796605:0.835758:0.796605:0.835758:0.780107:0.414852:0.780107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.634881:0.796721:0.640545:0.796721:0.640545:0.780252:0.634881:0.780252:0.000000
6:@0.640542:0.799882:0.645495:0.799882:0.645495:0.790264:0.640542:0.790264:0.000000
:@0.404235:0.841023:0.413868:0.841023:0.413868:0.827576:0.404235:0.827576:0.000000
t:@0.404235:0.887494:0.409899:0.887494:0.409899:0.871025:0.404235:0.871025:0.000000
j:@0.409862:0.890737:0.412108:0.890737:0.412108:0.881135:0.409862:0.881135:0.000000
 =:@0.412108:0.887391:0.427058:0.887391:0.427058:0.870893:0.412108:0.870893:0.000000:0.000000
1:@0.811805:0.342644:0.820301:0.342644:0.820301:0.326146:0.811805:0.326146:0.000000
2:@0.811805:0.358983:0.820301:0.358983:0.820301:0.342485:0.811805:0.342485:0.000000
1:@0.538332:0.416243:0.546828:0.416243:0.546828:0.399745:0.538332:0.399745:0.000000
2:@0.538332:0.432581:0.546828:0.432581:0.546828:0.416084:0.538332:0.416084:0.000000
–       + 1, si   ≠ 0,:@0.765412:0.574901:0.894883:0.574907:0.894883:0.558409:0.765412:0.558403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.847521:0.575017:0.853185:0.575017:0.853185:0.558548:0.847521:0.558548:0.000000
j:@0.853147:0.578252:0.855393:0.578252:0.855393:0.568651:0.853147:0.568651:0.000000
–1:@0.855393:0.578184:0.866467:0.578184:0.866467:0.568566:0.855393:0.568566:0.000000:0.000000
–1, si   = 0,:@0.765420:0.604735:0.854793:0.604731:0.854793:0.588233:0.765420:0.588238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.805511:0.604851:0.811175:0.604851:0.811175:0.588382:0.805511:0.588382:0.000000
j:@0.811130:0.608076:0.813376:0.608076:0.813376:0.598475:0.811130:0.598475:0.000000
–1:@0.813376:0.608009:0.824451:0.608009:0.824451:0.598391:0.813376:0.598391:0.000000:0.000000
1:@0.786807:0.567485:0.795303:0.567485:0.795303:0.550987:0.786807:0.550987:0.000000
t:@0.780816:0.583939:0.786480:0.583939:0.786480:0.567470:0.780816:0.567470:0.000000
j:@0.787928:0.587174:0.790174:0.587174:0.790174:0.577573:0.787928:0.577573:0.000000
–1:@0.790174:0.587106:0.801294:0.587106:0.801294:0.577488:0.790174:0.577488:0.000000:0.000000
1:@0.451391:0.691383:0.459887:0.691383:0.459887:0.674885:0.451391:0.674885:0.000000
t:@0.450331:0.707837:0.455995:0.707837:0.455995:0.691368:0.450331:0.691368:0.000000
0:@0.455994:0.711006:0.460948:0.711006:0.460948:0.701388:0.455994:0.701388:0.000000
1:@0.451391:0.740210:0.459887:0.740210:0.459887:0.723713:0.451391:0.723713:0.000000
t:@0.450331:0.756664:0.455995:0.756664:0.455995:0.740196:0.450331:0.740196:0.000000
2:@0.455994:0.759832:0.460948:0.759832:0.460948:0.750214:0.455994:0.750214:0.000000
1:@0.451391:0.789245:0.459887:0.789245:0.459887:0.772747:0.451391:0.772747:0.000000
t:@0.450331:0.805699:0.455995:0.805699:0.455995:0.789230:0.450331:0.789230:0.000000
4:@0.455994:0.808866:0.460948:0.808866:0.460948:0.799248:0.455994:0.799248:0.000000
1:@0.669185:0.740210:0.677681:0.740210:0.677681:0.723713:0.669185:0.723713:0.000000
t:@0.668126:0.756664:0.673790:0.756664:0.673790:0.740196:0.668126:0.740196:0.000000
3:@0.673789:0.759832:0.678742:0.759832:0.678742:0.750214:0.673789:0.750214:0.000000
1:@0.682942:0.789245:0.691438:0.789245:0.691438:0.772747:0.682942:0.772747:0.000000
t:@0.681883:0.805699:0.687547:0.805699:0.687547:0.789230:0.681883:0.789230:0.000000
5:@0.687546:0.808866:0.692499:0.808866:0.692499:0.799248:0.687546:0.799248:0.000000
1:@0.529586:0.691383:0.538082:0.691383:0.538082:0.674885:0.529586:0.674885:0.000000
1:@0.529586:0.707722:0.538082:0.707722:0.538082:0.691224:0.529586:0.691224:0.000000
1:@0.531960:0.740210:0.540456:0.740210:0.540456:0.723713:0.531960:0.723713:0.000000
–1:@0.526720:0.756549:0.545715:0.756549:0.545715:0.740051:0.526720:0.740051:0.000000:0.000000
1:@0.533635:0.789245:0.542131:0.789245:0.542131:0.772747:0.533635:0.772747:0.000000
1:@0.747432:0.740210:0.755928:0.740210:0.755928:0.723713:0.747432:0.723713:0.000000
2:@0.747432:0.756549:0.755928:0.756549:0.755928:0.740051:0.747432:0.740051:0.000000
1:@0.533635:0.807213:0.542131:0.807213:0.542131:0.790715:0.533635:0.790715:0.000000
2:@0.533635:0.823552:0.542131:0.823552:0.542131:0.807054:0.533635:0.807054:0.000000
1:@0.763210:0.789245:0.771706:0.789245:0.771706:0.772747:0.763210:0.772747:0.000000
–1:@0.757970:0.805584:0.776965:0.805584:0.776965:0.789086:0.757970:0.789086:0.000000:0.000000
1:@0.811924:0.740210:0.820420:0.740210:0.820420:0.723713:0.811924:0.723713:0.000000
2:@0.811924:0.756549:0.820420:0.756549:0.820420:0.740051:0.811924:0.740051:0.000000
2, si   ≥ 3 es múltiplo de 3,:@0.448659:0.865931:0.631022:0.865931:0.631022:0.849433:0.448659:0.849433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.478250:0.866047:0.482103:0.866047:0.482103:0.849578:0.478250:0.849578:0.000000
    , si   es de la forma de 3  + 1,           donde      .:@0.448659:0.890410:0.813406:0.890412:0.813406:0.873915:0.448659:0.873912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.486322:0.890526:0.490175:0.890526:0.490175:0.874057:0.486322:0.874057:0.000000
k:@0.627783:0.890526:0.636029:0.890526:0.636029:0.874057:0.627783:0.874057:0.000000
k:@0.762965:0.890526:0.771211:0.890526:0.771211:0.874057:0.762965:0.874057:0.000000
:@0.775353:0.890193:0.791401:0.890193:0.791401:0.875546:0.775353:0.875546:0.000000
N:@0.796314:0.889325:0.810651:0.889325:0.810651:0.876463:0.796314:0.876463:0.000000
1, si   es de la forma de 3  + 2,:@0.448657:0.914891:0.658300:0.914891:0.658300:0.898394:0.448657:0.898394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.478248:0.915007:0.482101:0.915007:0.482101:0.898538:0.478248:0.898538:0.000000
k:@0.619711:0.915007:0.627957:0.915007:0.627957:0.898538:0.619711:0.898538:0.000000
1:@0.449280:0.882899:0.457776:0.882899:0.457776:0.866401:0.449280:0.866401:0.000000
2:@0.449280:0.899237:0.457776:0.899237:0.457776:0.882740:0.449280:0.882740:0.000000
Interdisciplinariedad:@0.199646:0.110475:0.346431:0.110475:0.346431:0.095002:0.199646:0.095002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.199884:0.139526:0.355552:0.139526:0.355552:0.124053:0.199884:0.124053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números de Fibonacci (pu-:@0.153341:0.154945:0.354393:0.154945:0.354393:0.139882:0.153341:0.139882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
blicados en la obra :@0.153341:0.170787:0.278771:0.170787:0.278771:0.155724:0.153341:0.155724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Liber Abaci:@0.278771:0.170893:0.350416:0.170893:0.350416:0.155856:0.278771:0.155856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.350419:0.170787:0.356716:0.170787:0.356716:0.155724:0.350419:0.155724:0.000000:0.000000
aproximadamente en 1202) :@0.153341:0.186629:0.336329:0.186629:0.336329:0.171566:0.153341:0.171566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están definidos como: :@0.153341:0.202471:0.300284:0.202471:0.300284:0.187408:0.153341:0.187408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.167588:0.218419:0.175996:0.218419:0.175996:0.203382:0.167588:0.203382:0.000000
0:@0.176000:0.221305:0.180522:0.221305:0.180522:0.212523:0.176000:0.212523:0.000000
 = 1,   = 1, :@0.180523:0.218313:0.256425:0.218313:0.256425:0.203250:0.180523:0.203250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.212009:0.218419:0.220417:0.218419:0.220417:0.203382:0.212009:0.203382:0.000000
1:@0.220415:0.221305:0.224938:0.221305:0.224938:0.212523:0.220415:0.212523:0.000000
u:@0.167595:0.234261:0.176003:0.234261:0.176003:0.219224:0.167595:0.219224:0.000000
1:@0.176000:0.237147:0.180522:0.237147:0.180522:0.228365:0.176000:0.228365:0.000000
 = :@0.180523:0.234155:0.197955:0.234155:0.197955:0.219092:0.180523:0.219092:0.000000:0.000000:0.000000
u:@0.197955:0.234261:0.206363:0.234261:0.206363:0.219224:0.197955:0.219224:0.000000
n:@0.206221:0.237209:0.211205:0.237209:0.211205:0.228442:0.206221:0.228442:0.000000
–1:@0.211205:0.237147:0.221316:0.237147:0.221316:0.228365:0.211205:0.228365:0.000000:0.000000
 + :@0.221317:0.234155:0.238748:0.234155:0.238748:0.219092:0.221317:0.219092:0.000000:0.000000:0.000000
u:@0.238748:0.234261:0.247156:0.234261:0.247156:0.219224:0.238748:0.219224:0.000000
n:@0.247015:0.237209:0.251999:0.237209:0.251999:0.228442:0.247015:0.228442:0.000000
–2:@0.251999:0.237147:0.262110:0.237147:0.262110:0.228365:0.251999:0.228365:0.000000:0.000000
,   = 2, 3, … .:@0.262111:0.234155:0.342532:0.234155:0.342532:0.219092:0.262111:0.219092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.268408:0.234261:0.276956:0.234261:0.276956:0.219224:0.268408:0.219224:0.000000
Así, se obtienen los primeros :@0.153351:0.260691:0.342617:0.260691:0.342617:0.245628:0.153351:0.245628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
doce números::@0.153351:0.276533:0.250009:0.276533:0.250009:0.261470:0.153351:0.261470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153351:0.292480:0.161759:0.292480:0.161759:0.277444:0.153351:0.277444:0.000000
2:@0.161754:0.295365:0.166276:0.295365:0.166276:0.286583:0.161754:0.286583:0.000000
 =   +   = 2,:@0.166277:0.292373:0.254703:0.292373:0.254703:0.277310:0.166277:0.277310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.183708:0.292479:0.192116:0.292479:0.192116:0.277442:0.183708:0.277442:0.000000
1:@0.192116:0.295365:0.196638:0.295365:0.196638:0.286583:0.192116:0.286583:0.000000
u:@0.214069:0.292479:0.222477:0.292479:0.222477:0.277442:0.214069:0.277442:0.000000
0:@0.222478:0.295365:0.227000:0.295365:0.227000:0.286583:0.222478:0.286583:0.000000
u:@0.153350:0.308321:0.161758:0.308321:0.161758:0.293284:0.153350:0.293284:0.000000
3:@0.161754:0.311207:0.166276:0.311207:0.166276:0.302425:0.161754:0.302425:0.000000
 =   +   = 3,:@0.166277:0.308215:0.254703:0.308215:0.254703:0.293152:0.166277:0.293152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.183708:0.308321:0.192116:0.308321:0.192116:0.293284:0.183708:0.293284:0.000000
2:@0.192116:0.311207:0.196638:0.311207:0.196638:0.302425:0.192116:0.302425:0.000000
u:@0.214069:0.308321:0.222477:0.308321:0.222477:0.293284:0.214069:0.293284:0.000000
1:@0.222478:0.311207:0.227000:0.311207:0.227000:0.302425:0.222478:0.302425:0.000000
u:@0.153350:0.324163:0.161758:0.324163:0.161758:0.309126:0.153350:0.309126:0.000000
4:@0.161754:0.327049:0.166276:0.327049:0.166276:0.318267:0.161754:0.318267:0.000000
 =   +   = 5,:@0.166277:0.324057:0.254703:0.324057:0.254703:0.308994:0.166277:0.308994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.183708:0.324163:0.192116:0.324163:0.192116:0.309126:0.183708:0.309126:0.000000
3:@0.192116:0.327049:0.196638:0.327049:0.196638:0.318267:0.192116:0.318267:0.000000
u:@0.214069:0.324163:0.222477:0.324163:0.222477:0.309126:0.214069:0.309126:0.000000
2:@0.222478:0.327049:0.227000:0.327049:0.227000:0.318267:0.222478:0.318267:0.000000
u:@0.153350:0.340005:0.161758:0.340005:0.161758:0.324968:0.153350:0.324968:0.000000
5:@0.161754:0.342891:0.166276:0.342891:0.166276:0.334109:0.161754:0.334109:0.000000
 =   +   = 8,:@0.166277:0.339899:0.254703:0.339899:0.254703:0.324836:0.166277:0.324836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.183708:0.340005:0.192116:0.340005:0.192116:0.324968:0.183708:0.324968:0.000000
4:@0.192116:0.342891:0.196638:0.342891:0.196638:0.334109:0.192116:0.334109:0.000000
u:@0.214069:0.340005:0.222477:0.340005:0.222477:0.324968:0.214069:0.324968:0.000000
3:@0.222478:0.342891:0.227000:0.342891:0.227000:0.334109:0.222478:0.334109:0.000000
u:@0.153350:0.355847:0.161758:0.355847:0.161758:0.340810:0.153350:0.340810:0.000000
6:@0.161754:0.358733:0.166276:0.358733:0.166276:0.349951:0.161754:0.349951:0.000000
 = 13,:@0.166277:0.355741:0.201738:0.355741:0.201738:0.340678:0.166277:0.340678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153348:0.371689:0.161756:0.371689:0.161756:0.356652:0.153348:0.356652:0.000000
7:@0.161754:0.374575:0.166276:0.374575:0.166276:0.365793:0.161754:0.365793:0.000000
 = 21,:@0.166277:0.371583:0.201738:0.371583:0.201738:0.356520:0.166277:0.356520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153348:0.387531:0.161756:0.387531:0.161756:0.372494:0.153348:0.372494:0.000000
8:@0.161754:0.390417:0.166276:0.390417:0.166276:0.381635:0.161754:0.381635:0.000000
 = 34,:@0.166277:0.387425:0.201738:0.387425:0.201738:0.372362:0.166277:0.372362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153348:0.403373:0.161756:0.403373:0.161756:0.388336:0.153348:0.388336:0.000000
9:@0.161754:0.406259:0.166276:0.406259:0.166276:0.397477:0.161754:0.397477:0.000000
 = 55,:@0.166277:0.403267:0.201738:0.403267:0.201738:0.388204:0.166277:0.388204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153348:0.419215:0.161756:0.419215:0.161756:0.404178:0.153348:0.404178:0.000000
10:@0.161754:0.422101:0.170799:0.422101:0.170799:0.413319:0.161754:0.413319:0.000000:0.000000
 = 89,:@0.170798:0.419109:0.206260:0.419109:0.206260:0.404046:0.170798:0.404046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153349:0.435057:0.161757:0.435057:0.161757:0.420020:0.153349:0.420020:0.000000
11:@0.161754:0.437943:0.170799:0.437943:0.170799:0.429161:0.161754:0.429161:0.000000:0.000000
 = 144,:@0.170798:0.434951:0.214017:0.434951:0.214017:0.419888:0.170798:0.419888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.153349:0.450899:0.161757:0.450899:0.161757:0.435862:0.153349:0.435862:0.000000
12:@0.161754:0.453785:0.170799:0.453785:0.170799:0.445003:0.161754:0.445003:0.000000:0.000000
 = 233, … .:@0.170798:0.450793:0.237834:0.450793:0.237834:0.435730:0.170798:0.435730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En cursos superiores de geome-:@0.153349:0.473764:0.358392:0.473764:0.358392:0.458701:0.153349:0.458701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tría, aparecen estos números en :@0.153349:0.489606:0.361701:0.489606:0.361701:0.474543:0.153349:0.474543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muchos problemas aplicados. :@0.153349:0.505448:0.349810:0.505448:0.349810:0.490385:0.153349:0.490385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.153346:0.662330:0.164826:0.662330:0.164826:0.652305:0.153346:0.652305:0.000000
 :@0.164826:0.663038:0.167707:0.663038:0.167707:0.651561:0.164826:0.651561:0.000000
Leonardo de Pisa, más conocido como:@0.167707:0.663038:0.359005:0.663038:0.359005:0.651561:0.167707:0.651561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Fibonacci.:@0.153341:0.675108:0.217616:0.675108:0.217616:0.663631:0.153341:0.663631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.153346:0.699881:0.200978:0.699881:0.200978:0.684409:0.153346:0.684409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre Leonardo de Pisa, :@0.200978:0.699459:0.361203:0.699459:0.361203:0.684395:0.200978:0.684395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego :@0.153346:0.715301:0.193046:0.715301:0.193046:0.700237:0.153346:0.700237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona:@0.193046:0.715723:0.277494:0.715723:0.277494:0.700251:0.193046:0.700251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una ficha :@0.277496:0.715301:0.344725:0.715301:0.344725:0.700237:0.277496:0.700237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bibliográfica.:@0.153346:0.731143:0.235894:0.731143:0.235894:0.716079:0.153346:0.716079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Leonardo de Pisa, ( 2007) . www.wikimedia.org:@0.141662:0.648385:0.141662:0.519478:0.130194:0.519478:0.130194:0.648385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.836787:0.267109:0.836787:0.267109:0.819104:0.199644:0.819104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión. :@0.199880:0.863600:0.262816:0.863600:0.262816:0.848339:0.199880:0.848339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto orde-:@0.262483:0.863402:0.361497:0.863402:0.361497:0.848339:0.262483:0.848339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nado de términos que cumplen :@0.153337:0.879244:0.358187:0.879244:0.358187:0.864181:0.153337:0.864181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ley determinada.:@0.153337:0.895086:0.286226:0.895086:0.286226:0.880023:0.153337:0.880023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.840520:0.158313:0.839010:0.153110:0.816865:0.141706:0.818375:0.000000
c:@0.150290:0.851489:0.160889:0.850086:0.155807:0.828451:0.145207:0.829854:0.000000
b:@0.160665:0.844271:0.173379:0.842589:0.168247:0.820746:0.155534:0.822428:0.000000