If (1+x)1+x+x21+x+x2+x3…1+x+x2+…+xn=a0+a1x+a2x2+…+amxmthen value of a1 is

If (1+x)1+x+x21+x+x2+x3

1+x+x2++xn=a0+a1x+a2x2++amxm

then value of a1 is

  1. A

    m + 1

  2. B

    n + 1

  3. C

    n

  4. D

    m

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    Solution:

    a1 = coefficient of x in

    (1+x)1+x+x21+x+x2+x31+x++xn

    = coefficient of x in (1+x)(1+x)(1+x)n times 

    = coefficient of x in (1+x)n

    =C1   n=n

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