{"id":676,"date":"2012-02-02T21:17:30","date_gmt":"2012-02-02T21:17:30","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=676"},"modified":"2014-12-02T08:33:49","modified_gmt":"2014-12-02T08:33:49","slug":"review-of-geometric-series","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/review-of-geometric-series\/","title":{"rendered":"Review of Geometric Series"},"content":{"rendered":"<p>A <strong>geometric series<\/strong> is a series with a constant ratio between successive terms. For example,<\/p>\n<p>&nbsp;<\/p>\n<p>Since this ratio is common to all consecutive pairs of terms, it is called the common ratio denoted by r. Given by formula:<\/p>\n<p>r = a<sub>n+1<\/sub>\/a<sub>n<\/sub><\/p>\n<p>The general term of a geometric series is given as:<\/p>\n<p>a<sub>n<\/sub> = ar<sup>n \u2013 1<\/sup><\/p>\n<p>Sum of geometric series \u00a0a + ar + ar<sup>2<\/sup> + ar<sup>3<\/sup> + ar<sup>4<\/sup> + ar<sup>5<\/sup> + \u2026..+ar<sup>n-1<\/sup> is given as:<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/GS.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-672\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/2\/GS.png\" alt=\"\" width=\"461\" height=\"524\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students, visit: <a href=\"https:\/\/schooltutoring.com\">SchoolTutoring Academy<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A geometric series is a series with a constant ratio between successive terms. For example, &nbsp; Since this ratio is common to all consecutive pairs of terms, it is called the common ratio denoted by r. Given by formula: r = an+1\/an The general term of a geometric series is given as: an = arn [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[323,725,732,733,1777],"class_list":["post-676","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-commonratio","tag-generaltermofgeometricseries","tag-geometricratio","tag-geometricseries","tag-sumofgeometricseries"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/676","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=676"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/676\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=676"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=676"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=676"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}