Explain why the alternating series satisfies the conditions required to guarantee…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Explain why the alternating series

\displaystyle\sum_{n=1}^{\infty}(-1)^{n-1}\dfrac{1}{n^{2}}

satisfies the conditions required to guarantee that the absolute error of a partial sum is bounded by the magnitude of the next term.