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Question: The coefficient of \((1 + x + x^{2} + ....)^{2}\)\` \(n + 1\) is....

The coefficient of (1+x+x2+....)2(1 + x + x^{2} + ....)^{2}` n+1n + 1 is.

A

– 56

B

56

C

– 14

D

14

Answer

– 14

Explanation

Solution

2300×2(1.2)\Rightarrow 2^{300} \times 2 \equiv (1.2)

Thus coefficient of x7 is

23012\Rightarrow 2^{301} \equiv 2.