Determine whether the series $\sum _ { n = 1 } ^ { \infty } n ^ { - 4 / 5 }$ is a p-series.
A) $\sum _ { n = 1 } ^ { \infty } n ^ { - 4 / 5 }$ is not a $p -$ series.
B) $\sum _ { n = 1 } ^ { \infty } n ^ { - 4 / 5 }$ is a $p -$ series.

Question

Quizplus · Accepted Answer

A p-series is defined as $\sum _ { n = 1 } ^ { \infty } n ^ { - p }$ where $p > 0$. The given series fits this definition with $p = 4/5$, making it a p-series.

Determine Whether the Series ∑n=1∞n−4/5\sum _ { n = 1 } ^ { \infty } n ^ { - 4 / 5 }∑n=1∞​n−4/5

Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } n ^ { - 4 / 5 }$