Prove that C1/C0+(2c(2))/C1+(3C3)/(C2)+....

Prove that `C_1/C_0+(2c_(2))/C_1+(3C_3)/(C_2)+......+(n.C_n)/(C_(n-1))=(n(n+1))/2`
`2.C_0+(2^2.C_1)/(2)+(2^(3).C_(3))/(3)+.....(2^(4).C_3)/4+....(2^(n-1).C_(n))/(n+1)=(3^(n+1)-1)/(n+1)`
`C_(0)-(C_(1))/2+C_(2)/3-.....+(-1)^a(C_n)/(n+1)=(1)/(n+1)`

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