Ok, so here is my problem:

Find the sum of the convergent series:

$\displaystyle \sum_{n=0}^{\infty }\frac{(-1)^n\pi ^{2n+1}}{3^{2n+1}(2n+1)!}$

Im wondering if someone can push me in the right direction of this.. Do I find partials sums and then find an nth term from those partial sums? Help on this would be much appreciated!