Determine whether the series converges or diverges

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

Problem

Determine whether the series ∑n=3∞(−1)nn−2\displaystyle\sum_{n=3}^{\infty}\frac{(-1)^{n}}{n-2} converges or diverges. Give a brief justification.

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