## Thomas' Calculus 13th Edition

Let us consider the Ratio Test of the given series. In order to solve this series , we have: $\lim\limits_{n \to \infty} |\dfrac{u_{n+1}}{u_n}|=\lim\limits_{n \to \infty} |\dfrac{u_n \times \dfrac{-100}{(n+1)}}{u_n}\\=\lim\limits_{n \to \infty} \dfrac{100}{(n+1)}\\=0 \lt 1$ This implies that the series Absolutely converges by the ratio test.