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Find the Value Of 29427++(1)n+12n3n+1+\frac { 2 } { 9 } - \frac { 4 } { 27 } + \cdots + \frac { ( - 1 ) ^ { n + 1 } \cdot 2 ^ { n } } { 3 ^ { n + 1 } } + \cdots

Question 93

Essay

Find the value of 29427++(1)n+12n3n+1+\frac { 2 } { 9 } - \frac { 4 } { 27 } + \cdots + \frac { ( - 1 ) ^ { n + 1 } \cdot 2 ^ { n } } { 3 ^ { n + 1 } } + \cdots .

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