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Let (1+x^2)^2(1+x)^n=sum(k=0)^(n+4)ak x^...

Let `(1+x^2)^2(1+x)^n=sum_(k=0)^(n+4)a_k x^k`. If `a_1`, `a_2` and `a_3` are in arithmetic progression, then the possible value/values of `n` is/are a. 5 b. 4 c. `3` d. `2`

A

2,3,4

B

5,6,7

C

8,9,10

D

`-1,4,6`

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