Our instructor assigned a problem from Rudin's(adsbygoogle = window.adsbygoogle || []).push({}); Principles of Mathematical Analysis; a problem which I have been unable to solve after giving it good thought.

The statement is:

"Prove that the convergence of SUM[a_{n}] implies the convergence of SUM[sqrt(a_{n})/n], if a_{n}>= 0."

The instructor did give us a hint: "Review the ideas of chapter one," from which I gleaned the archimedean property or supremums might be important. Anyway, if anyone is familiar with how this can be proved, I would appreciate a nudge in the right direction. Thanks.

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# Homework Help: Convergence of Series

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