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

Name: Find the value of $\frac { 2 } { 9 } - \frac { 4 } { 27 } + \cdots + \frac { ( - 1 ) ^ { n + 1 } \cdot 2 ^ { n } } { 3 ^ { n + 1 } } + \cdots$ .
Brand: Quizplus
Rating: 4.8 (43 reviews)

Question

Quizplus · Accepted Answer

The Answer of Find the value of $\frac { 2 } { 9 } - \frac { 4 } { 27 } + \cdots + \frac { ( - 1 ) ^ { n + 1 } \cdot 2 ^ { n } } { 3 ^ { n + 1 } } + \cdots$ .

Find the Value Of 29−427+⋯+(−1)n+1⋅2n3n+1+⋯\frac { 2 } { 9 } - \frac { 4 } { 27 } + \cdots + \frac { ( - 1 ) ^ { n + 1 } \cdot 2 ^ { n } } { 3 ^ { n + 1 } } + \cdots92​−274​+⋯+3n+1(−1)n+1⋅2n​+⋯

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