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	<updated>2026-06-24T00:24:20Z</updated>
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		<id>https://www.vigyanwiki.in/index.php?title=Template:Series_(mathematics)&amp;diff=50141&amp;oldid=prev</id>
		<title>Indicwiki: 1 revision imported from :alpha:Template:Series_(mathematics)</title>
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		<updated>2022-12-22T04:30:28Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported from &lt;a href=&quot;https://alpha.indicwiki.in/index.php?title=Template:Series_(mathematics)&quot; class=&quot;extiw&quot; title=&quot;alpha:Template:Series (mathematics)&quot;&gt;alpha:Template:Series_(mathematics)&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:00, 22 December 2022&lt;/td&gt;
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		<author><name>Indicwiki</name></author>
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		<id>https://www.vigyanwiki.in/index.php?title=Template:Series_(mathematics)&amp;diff=2979&amp;oldid=prev</id>
		<title>Admin: 1 revision imported</title>
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		<updated>2022-07-21T10:05:23Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:35, 21 July 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en-GB&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Admin</name></author>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Series_(mathematics)&amp;diff=50140&amp;oldid=prev</id>
		<title>alpha&gt;Indicwiki: Created page with &quot;{{Navbox | name  = Series (mathematics) | title = Sequences and series | state = {{{state|}}} | image = File:Fibonacci spiral 34.svg|80px|link=F...&quot;</title>
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		<updated>2022-07-01T07:35:14Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Navbox | name  = Series (mathematics) | title = &lt;a href=&quot;/index.php?title=Sequence&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Sequence (page does not exist)&quot;&gt;Sequences&lt;/a&gt; and &lt;a href=&quot;/index.php?title=Series_(mathematics)&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Series (mathematics) (page does not exist)&quot;&gt;series&lt;/a&gt; | state = {{{state|}}} | image = File:Fibonacci spiral 34.svg|80px|link=F...&amp;quot;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-GB&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:05, 1 July 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en-GB&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>alpha&gt;Indicwiki</name></author>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Series_(mathematics)&amp;diff=2978&amp;oldid=prev</id>
		<title>wikipedia&gt;Raarthik at 02:08, 12 May 2021</title>
		<link rel="alternate" type="text/html" href="https://www.vigyanwiki.in/index.php?title=Template:Series_(mathematics)&amp;diff=2978&amp;oldid=prev"/>
		<updated>2021-05-12T02:08:28Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Navbox&lt;br /&gt;
| name  = Series (mathematics)&lt;br /&gt;
| title = [[Sequence]]s and [[Series (mathematics)|series]]&lt;br /&gt;
| state = {{{state|}}}&lt;br /&gt;
| image = [[File:Fibonacci spiral 34.svg|80px|link=Fibonacci number|alt=Fibonacci spiral with square sizes up to 34.]]&lt;br /&gt;
| listclass = hlist&lt;br /&gt;
| group1 = [[Integer sequence|Integer sequences]]&lt;br /&gt;
| list1 = &amp;lt;!--&lt;br /&gt;
--&amp;gt;{{Navbox|subgroup&lt;br /&gt;
  | groupstyle = text-align:left&lt;br /&gt;
  | group1 = Basic&lt;br /&gt;
  | list1  = &lt;br /&gt;
* [[Arithmetic progression]]&lt;br /&gt;
* [[Geometric progression]]&lt;br /&gt;
* [[Harmonic progression (mathematics)|Harmonic progression]]&lt;br /&gt;
* [[Square number]]&lt;br /&gt;
* [[Cube (algebra)|Cubic number]]&lt;br /&gt;
* [[Factorial]]&lt;br /&gt;
* [[Power of two|Powers of two]]&lt;br /&gt;
* [[Power of three|Powers of three]] &lt;br /&gt;
* [[Power of 10|Powers of 10]]&lt;br /&gt;
&lt;br /&gt;
   | group2 = Advanced {{nobold|1=([[List of OEIS sequences|list]])}}&lt;br /&gt;
   | list2  = &lt;br /&gt;
* [[Complete sequence]]&lt;br /&gt;
* [[Fibonacci number]]s&lt;br /&gt;
* [[Figurate number]]&lt;br /&gt;
* [[Heptagonal number]]&lt;br /&gt;
* [[Hexagonal number]]&lt;br /&gt;
* [[Lucas number]]&lt;br /&gt;
* [[Pell number]]&lt;br /&gt;
* [[Pentagonal number]]&lt;br /&gt;
* [[Polygonal number]]&lt;br /&gt;
* [[Triangular number]]&lt;br /&gt;
&lt;br /&gt;
}}&amp;lt;!-- END: Navbox|subgroup (group1) --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| group2 = Properties of sequences&lt;br /&gt;
| list2  = &lt;br /&gt;
* [[Cauchy sequence]]&lt;br /&gt;
* [[Monotone sequence]]&lt;br /&gt;
* [[Periodic sequence]]&lt;br /&gt;
&lt;br /&gt;
| group3 = Properties of series&lt;br /&gt;
| list3  =&lt;br /&gt;
&lt;br /&gt;
{{Navbox|subgroup&lt;br /&gt;
  | groupstyle = text-align:left&lt;br /&gt;
  | group1 = Series&lt;br /&gt;
  | list1  =&lt;br /&gt;
* [[Alternating series|Alternating]]&lt;br /&gt;
* [[Convergent series|Convergent]]&lt;br /&gt;
* [[Divergent series|Divergent]]&lt;br /&gt;
* [[Telescoping series|Telescoping]]&lt;br /&gt;
  | group2 = Convergence&lt;br /&gt;
  | list2  =&lt;br /&gt;
&lt;br /&gt;
* [[Absolute convergence|Absolute]]&lt;br /&gt;
* [[Conditional convergence|Conditional]]&lt;br /&gt;
* [[Uniform convergence|Uniform]]&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
| group4 = Explicit series&lt;br /&gt;
| list4  = {{Navbox|subgroup&lt;br /&gt;
  | groupstyle = text-align:left&lt;br /&gt;
  | group1 = Convergent&lt;br /&gt;
  | list1  =&lt;br /&gt;
* [[1/2 − 1/4 + 1/8 − 1/16 + ⋯]]&lt;br /&gt;
* [[1/2 + 1/4 + 1/8 + 1/16 + ⋯]]&lt;br /&gt;
* [[1/4 + 1/16 + 1/64 + 1/256 + ⋯]]&lt;br /&gt;
* [[Riemann zeta function|1 + 1/2&amp;lt;sup&amp;gt;''s''&amp;lt;/sup&amp;gt;+ 1/3&amp;lt;sup&amp;gt;''s''&amp;lt;/sup&amp;gt; + ... (Riemann zeta function)]]&lt;br /&gt;
&lt;br /&gt;
  | group2 = Divergent&lt;br /&gt;
  | list2  =&lt;br /&gt;
*     [[1 + 1 + 1 + 1 + ⋯]]&lt;br /&gt;
*     [[Grandi's series|1 − 1 + 1 − 1 + ⋯ (Grandi's series)]]&lt;br /&gt;
*     [[1 + 2 + 3 + 4 + ⋯]]&lt;br /&gt;
*     [[1 − 2 + 3 − 4 + ⋯]]&lt;br /&gt;
*     [[1 + 2 + 4 + 8 + ⋯]]&lt;br /&gt;
*     [[1 − 2 + 4 − 8 + ⋯]]&lt;br /&gt;
*     [[Infinite arithmetic series]]&lt;br /&gt;
*     [[1 − 1 + 2 − 6 + 24 − 120 + ...|1 − 1 + 2 − 6 + 24 − 120 + ⋯ (alternating factorials)]]&lt;br /&gt;
*     [[Harmonic series (mathematics)|1 + 1/2 + 1/3 + 1/4 + ⋯ (harmonic series)]]&lt;br /&gt;
*     [[Divergence of the sum of the reciprocals of the primes|1/2 + 1/3 + 1/5 + 1/7 + 1/11 + ⋯ (inverses of primes)]]&lt;br /&gt;
}}&amp;lt;!-- END: Navbox|subgroup (group4) --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| group5 = Kinds of series&lt;br /&gt;
| list5 =&lt;br /&gt;
* [[Taylor series]]&lt;br /&gt;
* [[Power series]]&lt;br /&gt;
* [[Formal power series]]&lt;br /&gt;
* [[Laurent series]]&lt;br /&gt;
* [[Puiseux series]]&lt;br /&gt;
* [[Dirichlet series]]&lt;br /&gt;
* [[Trigonometric series]]&lt;br /&gt;
* [[Fourier series]]&lt;br /&gt;
* [[Generating series]]&lt;br /&gt;
&lt;br /&gt;
| group6 = [[Hypergeometric function|Hypergeometric series]]&lt;br /&gt;
| list6 =&lt;br /&gt;
* [[Generalized hypergeometric series]]&lt;br /&gt;
* [[Hypergeometric function of a matrix argument]]&lt;br /&gt;
* [[Lauricella hypergeometric series]]&lt;br /&gt;
* [[Modular hypergeometric series]]&lt;br /&gt;
* [[Riemann's differential equation]]&lt;br /&gt;
* [[Theta hypergeometric series]]&amp;lt;!-- GOTCHA: }} --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| belowclass = hlist&lt;br /&gt;
| below = &lt;br /&gt;
* {{icon|Category}} [[:Category:Mathematical series|Category]]&lt;br /&gt;
&lt;br /&gt;
}}&amp;lt;!-- END: Navbox --&amp;gt;&amp;lt;noinclude&amp;gt;&lt;br /&gt;
{{documentation|content=&lt;br /&gt;
{{collapsible option |statename=optional}}&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*{{tl|Sequence}}&lt;br /&gt;
*{{tl|Classes of natural numbers}}&lt;br /&gt;
*{{tl|Prime number classes}}&lt;br /&gt;
*{{tl|Fractals}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics navigational boxes|Geometric series]]&lt;br /&gt;
&lt;br /&gt;
}}&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>wikipedia&gt;Raarthik</name></author>
	</entry>
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