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```        The coefficint of x^r in
f(x)=(x+2)^n+(x+2)^n-1(x+1)+....(x+1)^n is
(a)n+1Cr(2^(n+r)-1)
(b)n+1Cr(2^(n-r)-1)
(c)n+1Cr(2^(n-r+1)-1)
(d)none of these```
8 years ago

Pratham Ashish
17 Points
```										hi vaibhav,
d given exp is a gp wid r = (x+1)/(x+2)
just write d sum of d given gp , u will get
here , a = (x+2)^n
and sum = a(1-r^n)/(1-r)
after simplifying u will get (x+2)( (x+2)^n - (x+1)^n ) )
nw take 2 from (x+2)^n  and write in simple form as 2^n (1+ x/2)^n and u know dat coeff of x^r is nCr ,so use dis n u will get d final result as
(2^(n-r+1) - 1)*((n+1)Cr ) - nCr so ans wud be (d)none of these.
```
8 years ago
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