Use the Ratio Test to Examine the Two Series Below $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 2 ^ { 2 n + 1 } } { 5 ^ { n } }$

question 13

Multiple Choice

Use the Ratio Test to examine the two series below, stating: absolute convergence (A) , divergence (D) , or Ratio Test inconclusive (I) .
1) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 2 ^ { 2 n + 1 } } { 5 ^ { n } }$
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 5 ^ { n } } { 2 ^ { 2 n + 1 } }$

• A)1A, 2A
• B)1A, 2D
• C)1A, 2I
• D)1D, 2A
• E)1D, 2D
• F)1D, 2I
• G)1I, 2A
• H)1I, 2D

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