# Infinite series

### Infinite series

Let ($$a_{n}$$) be a sequence of strictly positive terms. Determine the nature (convergent/divergent) of the infinite series: $$\sum_{n=1}^{\infty}(\frac {\sqrt{a_{1}+a_{2}+a_{3}+...+a_{n}}}{\sqrt{a_{1}}+\sqrt{a_{2}}+...+\sqrt{a_{n}}})$$
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