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Find the Sum of the Series n=0(29n+45n)\sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)

Question 152

Multiple Choice

Find the sum of the series.
- n=0(29n+45n) \sum _ { n = 0 } ^ { \infty } \left( \frac { 2 } { 9 ^ { n } } + \frac { 4 } { 5 ^ { n } } \right)


A) 294\frac { 29 } { 4 }
B) 2315- \frac { 23 } { 15 }
C) 7715\frac { 77 } { 15 }
D) 114- \frac { 11 } { 4 }

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