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If n=2(a1+a)n=3\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3

Question 127

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If n=2(a1+a)n=3\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3 and a>0a > 0 , determine the value of a.

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