Infinite series

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