## seriesA sum of all or some of the terms of a sequence. Thus, the series 1 + 4 + 9 + 16 + ... is formed from the sequence 1, 4, 9, 16 ,... A series may or may not converge to a particular value as more and more terms are included. A series is said to be absolutely convergent
if the sum of the absolute values of the terms converges; in this case the
series converges no matter how the terms of the sum are arranged. Series
that are conditionally convergent only converge for some
arrangements of the terms and, even then, converge to different values for
different arrangements. A series formed from increasing powers of a variable is a power series; such power series are used to represent many functions. ## Related category• SERIES AND SEQUENCES | |||||

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