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  • If A and B are coefficients of x^n in the expansions of (1 + x)^2n and (1 + x)^2n–1 respectively, then A/B equals to (a)1 (b) 2 (c) 1/2 (d) 1 /n

If A and B are coefficients of  xn  in the expansions of (1 + x)2n and (1 + x)2n–1  respectively, then A/B  equals to

(a) 1

(b) 2

(c) \frac{1}{2}

(d)\frac{1}{n}

Answers (1)

The answer is the option (b) 2

2nCn is the coefficient of xn in the expansion of (1+x)2n

Thus, A = 2nCn

&2n-1Cn is the coefficient of xn in the expansion of (1+x)2n-1

Thus, B = 2n-1Cn

Thus, A/B = 2nCn/2n-1Cn

 = 2/1

=2:1

Posted by

infoexpert22

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