{"id":8088,"date":"2016-05-26T17:19:46","date_gmt":"2016-05-26T15:19:46","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=8088"},"modified":"2016-05-26T17:54:32","modified_gmt":"2016-05-26T15:54:32","slug":"serie-geometrica-definizione","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=8088","title":{"rendered":"Serie Geometrica: definizione"},"content":{"rendered":"<p>E&#8217; basata su una progressione geometrica di ragione <i>q: a, aq, aq<sup>2<\/sup>,..,aq<sup>n<\/sup>..<\/i><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/6.png\" width=\"277\" height=\"62\" \/><\/p>\n<p>Si sa che la somma dei primi n termini di una progressione geometrica di ragione q \u00e8:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/7.png\" width=\"131\" height=\"66\" \/><\/p>\n<p>La serie geometrica \u00e8:<\/p>\n<table border=\"0\" width=\"400\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"250\">convergente per<\/td>\n<td width=\"150\">\u00a0|<em>q<\/em>|&lt; 1<\/td>\n<\/tr>\n<tr>\n<td width=\"250\">divergente per<\/td>\n<td width=\"150\">\u00a0\u00a0<em>q\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/math\/8\/f\/b\/8fbe2a506fe3db0835548e1b648ec977.png\" alt=\"\\ge \" width=\"8\" height=\"10\" \/><\/em>\u00a01<\/td>\n<\/tr>\n<tr>\n<td width=\"250\">indeterminata o oscillante per<\/td>\n<td width=\"150\">\u00a0 <em>q<\/em>\u00a0&lt; &#8211; 1<\/td>\n<\/tr>\n<tr>\n<td width=\"250\">indeterminata per<\/td>\n<td width=\"150\"><em>\u00a0 q<\/em> = &#8211; 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>E&#8217; basata su una progressione geometrica di ragione q: a, aq, aq2,..,aqn.. Si sa che la somma dei primi n termini di una progressione geometrica di ragione q \u00e8: La serie geometrica \u00e8: convergente per \u00a0|q|&lt; 1 divergente per \u00a0\u00a0q\u00a0\u00a01 indeterminata o oscillante per \u00a0 q\u00a0&lt; &#8211; 1 indeterminata per \u00a0 q = &#8211; 1<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[266],"tags":[],"class_list":["post-8088","post","type-post","status-publish","format-standard","hentry","category-serie-numeriche"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-26s","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8088"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8088\/revisions"}],"predecessor-version":[{"id":8102,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8088\/revisions\/8102"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}