Determine the nature of the series .

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine the nature of the series ∑n=1∞(−1)n4n2\displaystyle \sum_{n=1}^{\infty} (-1)^{n}\dfrac{4}{n^{2}}. (a) The series diverges. (b) The series converges conditionally but not absolutely. (c) The series converges absolutely. (d) Insufficient information is given to classify the series.

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