Answer
See below.
Work Step by Step
Let us consider a series
$\Sigma_{n=1}^{\infty} a_p=a_1+a_2+....+a_n+....a_p$
this will be equal to
$\lim\limits_{p \to \infty} a_p$ and $a_p \ne 0$.
The nth-term test for divergence for a series can only be used to know if the series is divergent. This test fails when $\lim\limits_{p \to \infty} a_p=0$. So, the nth test does not provide precise information about whether the series is convergent or divergent.
