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

question 91

Multiple Choice

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

• A) \(\frac { 3 } { 2 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(- \frac { 1 } { 4 }\)
• D) \(- \frac { 1 } { 2 }\)
• E) \(- \frac { 3 } { 4 }\)

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