If (1+x)n= C0 + C1x + C2x2+ …..+Cnxn. Prove that C1 + 2C2 + 3C3 + ……+ nCn = n.2n-1

Differentiating both sides we getn. (1+x)^n-1=0+C1 +2C2x +3C3x^2+...+nCnx^n-1put x=1 thenyou'll get ur required results
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