Find the Sum of the Series $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)$$

question 152

Multiple Choice

Find the sum of the series.
- $$\sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)$$

• A) \(\frac { 29 } { 4 }\)
• B) \(- \frac { 23 } { 15 }\)
• C) \(\frac { 77 } { 15 }\)
• D) \(- \frac { 11 } { 4 }\)

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