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NDA2021MathematicsBinomial TheoremActual

What is the sum of the coefficients of first and last terms in the expansion of (1+x)^ 2 n , where n is a natural number?

Options

  1. A1
  2. B2
  3. Cn
  4. D2 n

Correct answer

B. 2

Step-by-step solution

(1+x)^ 2 n = ^ 2 n C₀+ ^ 2 n C₁ 2 x+ .+ ^ 2 n c_ 2 n x^ 2 x Sum of co-efficient of first and last term = ^ 2 n C₀+ 2 n 2 n =1+1=2

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