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NDA2017MathematicsBinomial TheoremActual

In the expansion of (1+x)⁵⁰ , the sum of the coefficients of odd powers of x is

Options

  1. A2²⁶
  2. B2⁴⁹
  3. C2⁵⁰
  4. D2⁵¹

Correct answer

B. 2⁴⁹

Step-by-step solution

Sum of odd terms of expansion ( a + b )^ n is 1 2 2^ n . Sum of odd terms of expansion (1+x)⁵⁰ is 1 2 2⁵⁰ . =2⁻¹ 2⁵⁰=2⁴⁹ .

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