# Math Help - [SOLVED] series convergence

1. ## [SOLVED] series convergence

Let ${a}_{n}\geq 0$. Prove that if

$\sum {a}_{n}$

converges, then

$\sum \frac{\sqrt{{a}_{n}}}{n}$

converges.

2. Use the Cauchy–Schwarz inequality on the series $\sum \sqrt{a_n}$ and $\sum \frac1n$.

3. thanks. That does it.