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Question

rth term in the expansion of (a+2x)n is


A

n(n+1).....(nr+1)r!anr+1(2x)r

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B

n(n1).....(nr+2)(r1)!anr+1(2x)r1

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C

n(n+1).....(nr)(r+1)!anr(x)r

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D

None of these

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Solution

The correct option is B

n(n1).....(nr+2)(r1)!anr+1(2x)r1


rth term of (a+2x)n is nCr1(a)nr+1(2x)r1

= n!(nr+1)!(r1)!anr+1(2x)r1

= n(n1).....(nr+2)(r1)!anr+1(2x)r1


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