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If (1 + x)^(n) = C(0) + C(1) x + C(2) x^...

If `(1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) +… + C_(n) x^(n)` , prove that
`C_(0) + 2C_(1) + 3C_(2) + …+ (n+1)C_(n) = (n+2)2^(n-1)` .

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