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Sum to $(n+1)$ terms of the series,

$\frac { { C }_{ 0 } }{ 2 } -\frac { { C }_{ 1 } }{ 3 } +\frac { { C }_{ 2 } }{ 4 } -\frac { { C }_{ 3 } }{ 5 } +...$ is,

Note: ${ C }_{ r }=\left( \begin{matrix} n \\ r \end{matrix} \right)$

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