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Given positive integer $r > 1, n > 2$ and the coefficient of $(3 r)^{th}$ and $(r + 2)^{th}$ terms in the binomial expansion of $(1 + x)^{2 n}$ are equal. Then

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n=2r

n=3r

n=2r+1

none of these

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detailed solution

Correct option is A

We have 2nC3r−1=2nCr+1⇒3r−1+r+1=2n⇒2r=n

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Given positive integer r>1,n>2 and the coefficient of (3r)th and (r+2)th terms in the binomial expansion of (1+x)2n are equal. Then

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Ready to Test Your Skills?

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Given positive integer $r > 1, n > 2$ and the coefficient of $(3 r)^{th}$ and $(r + 2)^{th}$ terms in the binomial expansion of $(1 + x)^{2 n}$ are equal. Then