If ${a_1},{a_2},{a_3},{a_4}$ are the coefficients of any four consecutive terms in the expansion of ${(1 + x)^n}$, then $\frac{{{a_1}}}{{{a_1} + {a_2}}} + \frac{{{a_3}}}{{{a_3} + {a_4}}}$ =

  • [IIT 1975]
  • A

    $\frac{{{a_2}}}{{{a_2} + {a_3}}}$

  • B

    $\frac{1}{2}\frac{{{a_2}}}{{({a_2} + {a_3})}}$

  • C

    $\frac{{2{a_2}}}{{{a_2} + {a_3}}}$

  • D

    $\frac{{2{a_3}}}{{{a_2} + {a_3}}}$

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