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AP EAMCET2003MathematicsBinomial Theorem

If the coefficient of (2 r+1) th term and (r+2) th term in the expansion of (1+x)⁴³ are equal, then r is equal to :

Options

  1. A12
  2. B14
  3. C16
  4. D18

Correct answer

B. 14

Step-by-step solution

Given that, Coefficient of (2 r+1) th term = co-efficient of (r+2) th term 43 2 r = 43 r+1 2 r+(r+1)=43 or 2 r=r+1 r=14 or r=1 thus r=14

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