The sum to $(n + 1)$ terms of the following 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

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

  • D

    None of these

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