Answer
Convergent
Work Step by Step
We are given that $\Sigma a_n$ is convergent.
Since, we have $\Sigma \dfrac{a_n}{n} \lt \Sigma a_n$
Thus, the series is less than a convergent series and thus is also convergent.
Hence, the given series $\Sigma \dfrac{a_n}{n}$ is convergent.
