Consider The Expansion of (1+x)‏²n+1

For the next three (03) items that follow:
Consider the expansion of (1+x)‏²n+1

  1. If the coefficients of xr and xr+1 are equal in the expansion, then r is equal to
    (a)n                           (b) 2n-1/2          (c) 2n+1/2             (d) n+1
  2. The average of the coefficients of the two middle terms in the expansion is
    (a) 2n+1Cn+2              (b) 2n+1Cn            (c) 2n+1Cn-1              (d) 2nCn+1
  3. The sum of the coefficients of all the terms in the expansion is

(a) 22n-1                       (b)4 n-1               (c) 2 x 4n                (d) None of the above

Anurag Mishra Professor Asked on 30th September 2015 in Maths.
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