If `(1+x)^n=c_0+c_1x+c_2x^2+...+c_nx^n` then the value of `c_0+3c_1+5c_2+....+(2n+1)c_n` is-

If (1+x)^n=c_0+c_1x+c_2x^2+….+c_nx^n , find the value of c_0-c_2+c_4-….

If (1+x)^n=c_0+c_1x+c_2x^2+....+c_nx^n ,then show that c_0/1+c_2/3+c_4/5+...=2^n/(n+1)

If (1+x)^n=C_0+C_1x+C_2x^2+...+C_nx^n then the value of (C_0)^2+(C_1)^2/2+(C_2)^2/3+...+(C_n)^2/(n+1) is equal to

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+ . . .+C_(n)x^(n) , then the value of : C_(1)+2C_(2)+3C_(3)+ . . .+nC_(n) is:

If (1+x)^n = C_0 + C_1 x + C_2x^2 + …………+C_n x^n , find the value of C_0 - 2C_1 + 3C_2 - ……….+ (-1)^n (n+1) C_n

If (1+x)^n = C_0 + C_1 x+ C_2 x^2 + ….....+ C_n x^n, then C_0+2. C_1 +3. C_2 +….+(n+1) . C_n=

If (1+x)^n =C_0+C_1 x+ C_2 x^2 +....... C_nx^n prove that : C_0+ 2C_1 +.........+2""^nC_n=3^n .

If (1+x)^n =C_0+C_1 x+ C_2 x^2 +....... C_nx^n prove the following : 2C_0+5 C_1+8C_2+...+(3n+2)C_n=(3n+4)2^(n-1) .