# Easy Hyperbolic Summation

Calculus Level 4

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

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.

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