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Alternating Series

A Series of the form

\sum_{k=1}^\infty (-1)^{k+1} a_k


\sum_{k=1}^\infty (-1)^ka_k.

See also Series


Arfken, G. ``Alternating Series.'' §5.3 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 293-294, 1985.

Bromwich, T. J. I'a and MacRobert, T. M. ``Alternating Series.'' §19 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, pp. 55-57, 1991.

Pinsky, M. A. ``Averaging an Alternating Series.'' Math. Mag. 51, 235-237, 1978.

© 1996-9 Eric W. Weisstein