# Math Help - Convergent Series Proof

1. ## Convergent Series Proof

And help with this would be appreciated! Prove that if the series, ∑n=1infinity (n*sn) converges, then sn tends to 0 as n tends to infinity.

2. ## Re: Convergent Series Proof

Hint: If $\sum\limits_{n = 1}^\infty {{a_n}}$ converges then we know that $\left( {{a_n}} \right) \to 0$.