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Question

The coefficient of xr in the expansion of (1+3x+6x2+10x3+......) is :


A

(r+1)

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B

(r+1)/2

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C

(r+1)(r+2)/2

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D

(r+2)/2

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Solution

The correct option is C

(r+1)(r+2)/2


(1+3x+6x2+10x3+...)=(1x)3

Coefficient of xr=3+r1Cr=r+2C2

= 12(r+2)(r+1)


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