{"id":1125,"date":"2020-11-26T16:09:08","date_gmt":"2020-11-26T16:09:08","guid":{"rendered":"https:\/\/www.carloschuez.com\/home\/?p=1125"},"modified":"2020-12-07T19:21:05","modified_gmt":"2020-12-07T19:21:05","slug":"explicacion-y-demostracion-de-sn12n3n4n5ntn","status":"publish","type":"post","link":"https:\/\/www.carloschuez.com\/home\/explicacion-y-demostracion-de-sn12n3n4n5ntn\/","title":{"rendered":"Explicaci\u00f3n y Demostraci\u00f3n de Sn=1+2n+3n+4n+5n+\u2026+tn"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"background-color: #ffffff;background-position: center center;background-repeat: no-repeat;border-width: 0px 0px 0px 0px;border-color:rgba(255,255,255,0);border-style:solid;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start\" style=\"max-width:1216.8px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_3_4 3_4 fusion-flex-column\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;padding: 0px 0px 0px 0px;\"><style type=\"text\/css\">@media only screen and (max-width:800px) {.fusion-title.fusion-title-1{margin-top:0px!important; margin-right:0px!important;margin-bottom:30px!important;margin-left:0px!important;}}@media only screen and (max-width:640px) {.fusion-title.fusion-title-1{margin-top:0px!important; margin-right:0px!important;margin-bottom:20px!important; margin-left:0px!important;}}<\/style><div class=\"fusion-title title fusion-title-1 fusion-title-text fusion-title-size-two\" style=\"font-size:28px;margin-top:0px;margin-right:0px;margin-bottom:30px;margin-left:0px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep-\" style=\"border-color:#2a2e38;\"><\/div><\/div><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Montserrat&quot;;font-weight:400;margin:0;font-size:1em;color:#000000;--fontSize:28;line-height:1.2;\">Explicaci\u00f3n y Demostraci\u00f3n de Sn=1+2n+3n+4n+5n+\u2026+tn<\/h2><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep-\" style=\"border-color:#2a2e38;\"><\/div><\/div><\/div><div class=\"fusion-text fusion-text-1\"><\/div><div class=\"fusion-text fusion-text-2\"><p style=\"text-align: justify;\">Puede suceder que algunos estudiosos y personas interesadas en las matem\u00e1ticas, despu\u00e9s de conocer las f\u00f3rmulas de las sumas de las series aritm\u00e9ticas y geom\u00e9tricas, tengan la curiosidad de tratar de informarse sobre la demostraci\u00f3n y el procedimiento para calcular la suma de la serie de este tema u otras series similares y cuyos exponentes sean 5, 6, 7, 8, etc. Sin embargo, resulta algunas veces decepcionante para la persona interesada que al revisar en libros de matem\u00e1ticas no encuentre los procedimientos que expliquen, demuestren y calculen las f\u00f3rmulas de las sumas de esas series. Para satisfacer esas inquietudes, expongo en este ensayo el modo de c\u00f3mo se pudo haber calculado las f\u00f3rmulas de dichas series cuando el exponente es 4 y 5, y cuando el exponente de las series es 6, 7, 8, 9, 10,\u2026, hasta 31.<\/p>\n<\/div><style type=\"text\/css\">@media only screen and (max-width:800px) {.fusion-title.fusion-title-2{margin-top:30px!important; margin-right:0px!important;margin-bottom:30px!important;margin-left:0px!important;}}@media only screen and (max-width:640px) {.fusion-title.fusion-title-2{margin-top:0px!important; margin-right:0px!important;margin-bottom:20px!important; margin-left:0px!important;}}<\/style><div class=\"fusion-title title fusion-title-2 fusion-title-text fusion-title-size-two\" style=\"font-size:28px;margin-top:30px;margin-right:0px;margin-bottom:30px;margin-left:0px;\"><div class=\"title-sep-container title-sep-container-left fusion-no-large-visibility fusion-no-medium-visibility fusion-no-small-visibility\"><div class=\"title-sep sep-\" style=\"border-color:#2a2e38;\"><\/div><\/div><h2 class=\"title-heading-left fusion-responsive-typography-calculated\" style=\"font-family:&quot;Montserrat&quot;;font-weight:400;margin:0;font-size:1em;--fontSize:28;line-height:1.2;\">Should you adopt Sketch?<\/h2><div class=\"title-sep-container title-sep-container-right\"><div class=\"title-sep sep-\" style=\"border-color:#2a2e38;\"><\/div><\/div><\/div><div class=\"fusion-text fusion-text-3\"><p>VER TEXTO COMPLETO: <a href=\"https:\/\/www.carloschuez.com\/home\/wp-content\/uploads\/2020\/09\/demostracion-y-solucion-tecnica-de-las-series.pdf\">AQU\u00cd<\/a><\/p>\n<\/div><\/div><style type=\"text\/css\">.fusion-body .fusion-builder-column-0{width:75% !important;margin-top : 0px;margin-bottom : 0px;}.fusion-builder-column-0 > .fusion-column-wrapper {padding-top : 0px !important;padding-right : 0px !important;margin-right : 2.56%;padding-bottom : 0px !important;padding-left : 0px !important;margin-left : 2.56%;}@media only screen 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