{"id":4360,"date":"2022-06-11T08:24:49","date_gmt":"2022-06-11T08:24:49","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4360"},"modified":"2022-06-11T08:24:49","modified_gmt":"2022-06-11T08:24:49","slug":"types-of-sequence-and-series","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/11\/types-of-sequence-and-series\/","title":{"rendered":"Types of Sequence and Series"},"content":{"rendered":"\n<p>There are various types of sequences and series, in this section, we will discuss some special and most commonly used sequences and series. The types of sequence and series are:<\/p>\n\n\n\n<ul><li>Arithmetic Sequences and Series<\/li><li>Geometric Sequences and Series<\/li><li>Harmonic Sequences and Series<\/li><\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>Arithmetic Sequence and Series<\/code><\/pre>\n\n\n\n<p>An\u00a0arithmetic sequence\u00a0is a sequence where the successive terms are either the addition or subtraction of the common term known as common difference. For example, 1, 4, 7, 10, &#8230;is an arithmetic sequence. A series formed by using an arithmetic sequence is known as the arithmetic series for example 1 + 4 + 7 + 10&#8230; is an arithmetic series.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Geometric Sequence and Series<\/code><\/pre>\n\n\n\n<p>A\u00a0geometric sequence\u00a0is a sequence where the successive terms have a common ratio. For example, 1, 4, 16, 64, &#8230;is an arithmetic sequence. A series formed by using geometric sequence is known as the geometric series for example 1 + 4 + 16 + 64&#8230; is a geometric series. The geometric progression can be of two types: Finite geometric progression and\u00a0infinite geometric series.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Harmonic Sequence and Series<\/code><\/pre>\n\n\n\n<p>A\u00a0harmonic sequence\u00a0is a sequence where the sequence is formed by taking the reciprocal of each term of an arithmetic sequence. For example, 1, 1\/4, 1\/7, 1\/10,&#8230; is a harmonic sequence. A series formed by using harmonic sequence is known as the harmonic series for example 1 + 1\/4 + 1\/7 + 1\/10&#8230;. is a harmonic series.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are various types of sequences and series, in this section, we will discuss some special and most commonly used sequences and series. The types of sequence and series are: Arithmetic Sequences and Series Geometric Sequences and Series Harmonic Sequences and Series An\u00a0arithmetic sequence\u00a0is a sequence where the successive terms are either the addition or [&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\/4360"}],"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=4360"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4360\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}