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NDA2018MathematicsBinomial TheoremActual

Let the coefficient of the middle term of the binomial expansion of (1+x)^ 2 n be and those of two middle terms of the binomial expansion of (1+x)^ 2 n -1 be and . Which one of the following relations is correct?

Options

  1. A+
  2. B+
  3. C= +
  4. D=

Correct answer

C. = +

Step-by-step solution

aligned & = ^ 2 n C _n & = ^ 2 n-1 C _n & = ^ 2 n-1 C _ n-1 & + = ^ 2 n-1 C _n+ ^ 2 n-1 C _ n-1 = ^ 2 n C _n= aligned

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