# Wallis this?

**Discrete Mathematics**Level 4

\[ \large \sum_{m=1}^\infty\dfrac{(2m-1)!!}{(2m)!!} \left(\dfrac{7}{16}\right)^m \]

If the value of the series above is equal to \( A^{-1} \), find the value of \(A\).

\[ \large \sum_{m=1}^\infty\dfrac{(2m-1)!!}{(2m)!!} \left(\dfrac{7}{16}\right)^m \]

If the value of the series above is equal to \( A^{-1} \), find the value of \(A\).

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