If the coefficient of (2r + 1)th term and (r + 2)th term are equal in expansion of $(1 + x)^{43}$ , then r =

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Solution

The correct option is A
14

In $(1 + x)^{43}$ , coefficient of $T_{2 r + 1}$ = Coeff. of $T_{(r + 1) + 1}$

This $\Rightarrow$ $^{43} C_{2} r =^{43} C_{2 r} =^{43} C_{r + 1} = 43 \Rightarrow 3 r = 42 \Rightarrow r = 14.$

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If the coefficients of (2r+1)th term and (r+2)th terms in the expansion of $(1 + x)^{43}$ are equal, find r.

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