{"id":4366,"date":"2022-06-11T08:27:12","date_gmt":"2022-06-11T08:27:12","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4366"},"modified":"2022-06-11T08:27:12","modified_gmt":"2022-06-11T08:27:12","slug":"sequence-and-series-tips","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/sequence-and-series-tips\/","title":{"rendered":"Sequence and Series Tips"},"content":{"rendered":"\n<p>The following points are helpful to clearly understand the concepts of sequence and series.<\/p>\n\n\n\n<ul><li>In an arithmetic sequence and series, a is represented as the first term, d is a common difference, a<sub>n<\/sub>&nbsp;as the nth term, and n as the number of terms.<\/li><li>In general, the arithmetic sequence can be represented as a, a+d, a+2d, a+3d,&#8230;<\/li><li>Each successive term is obtained in a geometric progression by multiplying the common ratio to its preceding term.<\/li><li>The formula for the nth term of a geometric&nbsp;progression&nbsp;whose first term is a and common ratio is r is a<sub>n<\/sub>&nbsp;= ar<sup>n\u22121<\/sup><\/li><li>The sum of the infinite GP formula is given as S<sub>n<\/sub>&nbsp;= a\/(1\u2212r) where |r|&lt;1.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The following points are helpful to clearly understand the concepts of sequence and series. In an arithmetic sequence and series, a is represented as the first term, d is a common difference, an&nbsp;as the nth term, and n as the number of terms. In general, the arithmetic sequence can be represented as a, a+d, a+2d, [&hellip;]<\/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\/4366"}],"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=4366"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4366\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4366"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4366"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4366"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}