Find the value of

C0/2+2C1/3+3C2/4+...+(n+1)Cn/(n+2)

2 Answers

1057
Ketan Chandak ·

rearranging the given expression,
C0-C0/2+C1-C1/3....

which is (C0+C1+C2....)-(C0/2+C1/3+C2/4...)

the first bracket series upto n terms is 2n and the second bracket sum can also be found out by writing the binomial expansion of x(1+x)n,integrating it and putting x=1.

43
Jeet Sen Sharma ·

it can easily be done. multipling both sides by x thn integrating, thn dividing both sides by x thn differentiating and putting x=1 in the expansion of (1+x)n.

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