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? 

Take any Leibniz sequence $x_n$, the series of which converges not to zero, say to $c$, and then consider
the sequence $(\frac5c\cdot x_n)_n$.
