Source: wikibot/alternating-series
= Alternating series
{wiki=Alternating_series}
An alternating series is a type of infinite series in which the terms alternate in sign. Formally, a series of the form: \\\[ \\sum_\{n=0\}^\{\\infty\} (-1)^n a_n \\\] is called an alternating series, where \\( a_n \\) is a sequence of positive terms (i.e., \\( a_n > 0 \\)) for all \\( n \\).