The Alternating Series Test is a method used to determine the convergence of an alternating series. An alternating series is a series of the form: \[ \sum_{n=1}^{\infty} (-1)^{n} a_n \] where \( a_n \) is a sequence of positive terms. The test provides a way to conclude that the series converges under specific conditions.
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If decreases to zero, then converges.