Alternating Series

In mathematics, an alternating series is an infinite series of the form

with an ≥ 0 (or an ≤ 0) for all n. Like any series, an alternating series converges if and only if the associated sequence of partial sums converges.

Read more about Alternating Series:  Alternating Series Test, Approximating Sums, Absolute Convergence, Conditional Convergence, Rearrangements, Series Acceleration

Famous quotes containing the word series:

    “Life ... is not simply a series of exciting new ventures. The future is not always a whole new ball game. There tends to be unfinished business. One trails all sorts of things around with one, things that simply won’t be got rid of.”
    —Anita Brookner (b. 1928)