There are various formulas related to various sequences and series by using them we can find a set of unknown values like the first term, nth term, common parameters, etc. These formulas are different for each kind of sequence and series. Formulas related to various\u00a0sequences and series\u00a0are explained below:<\/p>\n\n\n\n
The various formulas used in\u00a0arithmetic sequence\u00a0are given below:<\/p>\n\n\n\n The various formulas used in\u00a0geometric sequence\u00a0are given below:<\/p>\n\n\n\n There are various formulas related to various sequences and series by using them we can find a set of unknown values like the first term, nth term, common parameters, etc. These formulas are different for each kind of sequence and series. Formulas related to various\u00a0sequences and series\u00a0are explained below: Arithmetic Sequence and Series Formula The […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[815],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4364"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4364"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4364\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4364"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4364"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Arithmetic sequence<\/th> a, a + d, a + 2d, a + 3d, …<\/td><\/tr> Arithmetic series<\/th> a + (a + d) + (a + 2d) + (a + 3d) + …<\/td><\/tr> First term:<\/th> a<\/td><\/tr> Common difference(d):<\/th> Successive term \u2013 Preceding term or an<\/sub> – an-1<\/sub><\/td><\/tr> nth<\/sup> term, an<\/sub><\/th> a + (n-1)d<\/td><\/tr> Sum of arithmetic series, Sn<\/sub><\/th> (n\/2)(2a + (n-1)d)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n Geometric Sequence and Series Formulas<\/h3>\n\n\n\n
Geometric sequence<\/th> a, ar, ar2<\/sup>,\u2026.,ar(n-1)<\/sup>,\u2026<\/td><\/tr> Geometric series<\/th> a + ar + ar2 <\/sup>+ …+ ar(n-1)<\/sup>+ \u2026<\/td><\/tr> First term<\/th> a<\/td><\/tr> Common ratio<\/th> r<\/td><\/tr> nth<\/sup> term<\/th> ar(n-1)<\/sup><\/td><\/tr> Sum of geometric series<\/th> Finite series: Sn<\/sub>\u00a0= a(1\u2212rn<\/sup>)\/(1\u2212r) for r\u22601, and Sn<\/sub>\u00a0= an for r = 1Infinite series: Sn<\/sub>\u00a0= a\/(1\u2212r)\u200b for |r| < 1, and not defined for |r| > 1<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"