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Examine the Two Series Below for Absolute Convergence (A), Convergence n=1(1)n1(n+2)3n22n+1\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }

question 89

Multiple Choice

Examine the two series below for absolute convergence (A) , convergence that is not absolute (C) , or divergence (D) .
1) n=1(1) n1(n+2) 3n22n+1\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }
2) n=1(1) n1(n+3) 22n3n+100\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 3 ) 2 ^ { 2 n } } { 3 ^ { n + 100 } }

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