# Leibniz Alternating Series Test

Can someone help me find a Leibniz Series (alternating sum) that converges to $5$ ?

Does such a series even exist?

Thanks in advance!!!

I've tried looking at a series of the form $\sum _ 1 ^\infty (-1)^{n} q^n$ which is a geometric series ... But I get $q>1$ , which is impossible... Does someone have an idea?

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Do you know the sum of some alternating series? – AD. Jan 28 '13 at 17:17
Try $1+q=1/5$... – AD. Jan 28 '13 at 17:18

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