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Find the value of C0 + 1*C1 + 2*C2 +.......+ n*Cn.

Find the value of


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

Grade:12th Pass

2 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

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*2n-1

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All the best Speed !!!

 


Regards,

Askiitians Experts

CHETAN MANDAYAM NAYAKAR

let f(x)=y=(1+x)n

y'=

Ashwin Muralidharan IIT Madras
290 Points
10 years ago

Hi Speed Racer,

 

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

 

And so the answer would be n2n-1+1.

Wrongly mentioned as n2n+1.

 

Best Regards,

Ashwin (IIT Madras).

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