Find the value of

C0 + 1*C1 + 2*C2 +.......+ n*Cn.

Dear Speed,

let f(x)=y=(1+x)ⁿ

y'=C0+1*x*C1+2x²C2+...nxⁿCn

let x=1,then y=2ⁿ,y'=n(1+x)^n-1=n(1+1)^n-1=n*2^n-1

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Askiitians Experts

CHETAN MANDAYAM NAYAKAR

let f(x)=y=(1+x)ⁿ

y'=

Hi Speed Racer,

Kindly note, when differentiating, you would get n*(1+x)^n-1.

And so the answer would be n2^n-1+1.

Wrongly mentioned as n2ⁿ+1.

Best Regards,

Ashwin (IIT Madras).