Math Help - Convergence of series

1. Convergence of series

I have to prove that Sn \to 0 as n \to \infty, given that the series \sum_{n = 1}^\infty 2{}^{ }n Sn converges. I don't see how this converges to 0 as n tends to infinity. Can anyone help at all.

Thanks

2. Originally Posted by burdo
I have to prove that Sn \to 0 as n \to \infty, given that the series \sum_{n = 1}^\infty 2{}^{ }n Sn converges. I don't see how this converges to 0 as n tends to infinity.
Why don't you make you posting readable?