The 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 

  • A

    $\frac{1}{{n + 1}}$

  • B

    $\frac{1}{{n + 2}}$

  • C

    $\frac{1}{{n\left( {n + 1} \right)}}$

  • D

    none of these

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