Answer
Converges absolutely
Work Step by Step
We need to apply the Ratio Test to the series.
$\lim\limits_{n \to \infty} |\dfrac{u_{n+1}}{u_n}|=\lim\limits_{n \to \infty} |\dfrac{u_n \times \dfrac{-100}{(n+1)}}{u_n}$
or, $=\lim\limits_{n \to \infty} |\dfrac{-100}{n+1}|$
or, $=\lim\limits_{n \to \infty} \dfrac{100}{n+1}$
So, $=\dfrac{100}{\infty } =0 \lt 1$
Thus, the series converges absolutely by the ratio test.