Does the series converge or diverge

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

Problem

Does the series

\displaystyle \sum_{n=1}^{\infty} \frac{n^{3}+7n}{n^{5}}

converge or diverge? Give your answer and cite the value of

p

for the equivalent

p

-series.