I have the following series:
$$\sum _{n=1}^\infty \frac{(-1)^{n-1}}{(2n-1)3^{n-1}}$$
I already know that it converges but I'm trying to get what does it sum up to. I've tried to find an alternative way of expressing it so that it becomes a geometric series but that got me nowhere. Any help is appreciated, thanks a lot.