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

question 98

Multiple Choice

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \frac { 2 ^ { n } } { 3 ^ { n } }$ .

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 3 } { 5 }\)
• D)1
• E) \(\frac { 3 } { 2 }\)
• F) \(\frac { 2 } { 5 }\)
• G)3
• H)Divergent

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