Find the sum of each of the convergent series:

b) 5 - 1/3 + 20/9 - 40/27 + 80/81 .....

so first we need to find the general term, and I'm not sure of my answer, but I got:

((-1)^2 * 2!)/3^n and a0 = 5

From here on I'm lost.

Found it, the answer is S=3