C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2
prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

Question

C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2 prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

Arun · Answer

Dear Meghendra Its general term = r * nCr / nCr-1 hence r * (n – r + 1 )/ r n – r + 1 now after summation you get = n (n + 1)/2 Regards Arun

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C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2 prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2
prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

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C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2 prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2 prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.

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C1/C0 + 2C1/C2 + 3C3/C2 + …..+ nCn/Cn-1 = n(n+1)/2
prove this when C1,C2,C3......Cn represents the coefficients of (1+x)^n.