Answer
True
Work Step by Step
As $a_n$ is given to converge, let it converge to a finite number c.
Therefore, $ \lim\limits_{n \to \infty}a_n = c$
Now,
$ \lim\limits_{n \to \infty}\frac{a_n}{n} =\lim\limits_{n \to
\infty}a_n\times\lim\limits_{n \to \infty}\frac{1}{n} =c \times0 = 0$
Hence the given statement is true