Q59 / 170 · Manipal (MET) 2016 · Mathematics

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

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

Solution

Since, total number of terms $=59+1=60$ $\therefore$ Required sum $=\frac{2^{59}}{2}=2^{58}$

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

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