Determine Whether the Series $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 3 ^ { 2 n } } { 2 ^ { 3 n + 1 } }$

question 223

Short Answer

Determine whether the series $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 3 ^ { 2 n } } { 2 ^ { 3 n + 1 } }$ is convergent or divergent. If it is convergent, find its sum.

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