Find the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \frac { ( - 3 ) ^ { n - 1 } } { 4 ^ { n } }$

question 35

Multiple Choice

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } \frac { ( - 3 ) ^ { n - 1 } } { 4 ^ { n } }$ .

• A) \(- \frac { 3 } { 4 }\)
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 1 } { 7 }\)
• D) \(\frac { 1 } { 7 }\)
• E) \(\frac { 1 } { 4 }\)
• F) \(\frac { 3 } { 4 }\)
• G)0
• H)Divergent

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