\[\large{S= \sum_{n=1}^\infty \dfrac1{(2n-1)2^{n-1}} = 1+\frac { 1 }{ 6 } +\frac { 1 }{ 20 } +\frac { 1 }{ 56 } +\cdots}\]

If \(S\) can be represented as \(\sqrt { A } \sinh ^{ -1 }{ ( B ) } \), where \(A\) and \(B\) are integers . Find \( 100(A+B) \).

**Bonus**: Find the partial sum of the series above.

×

Problem Loading...

Note Loading...

Set Loading...