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Prove that : ^2C1+ ^3C1+ ^4C1= "^3C2+ ^...

Prove that : `^2C_1+ ^3C_1+ ^4C_1= "^3C_2+ ^4C_2`.

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Prove that .^(n)C_(0) + (.^(n)C_(1))/(2) + (.^(n)C_(2))/(3) + "……" +(. ^(n)C_(n))/(n+1) = (2^(n+1)-1)/(n+1) .