Q54 / 160 · WBJEE 2010 · Mathematics

Sum of the last 30 coeffivients in the expansion of $(1+x)^{59}$, when expanded in ascending powers of $x$ is

  • A
    $2^{59}$
  • Correct answer
    B
    $2^{58}$
  • C
    $2^{30}$
  • D
    $2^{29}$

Solution

Hints: Total terms $=60$ Sum of first 30 terms $=\frac{\text { Sum of all the terms }}{2}=\frac{2^{59}}{2}=2^{58}$

Hence, the correct answer is option: 'B'.

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