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

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

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