If 〖(1+x)〗^n=C_0+C_1 x+C_2 x^2+⋯……+C_n x^n, then prove that C_0+3C_1+5C_2+⋯……+(2n+1) C_n=(n+1)2^n

If
〖(1+x)〗^n=C_0+C_1 x+C_2 x^2+⋯……+C_n x^n,
then prove that

C_0+3C_1+5C_2+⋯……+(2n+1) C_n=

(n+1)2^n

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