Does the series converge or diverge

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Does the series ∑n=0∞n5 n\displaystyle\sum_{n=0}^{\infty} \frac{n}{5^{\,n}} converge or diverge? State your conclusion and give a brief reason.

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