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_1x+C_2x^2 + ... + C_nx^n ,then for n odd, C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1) C_n^2 , is equal to

If (1 + x)^n= C_0+C_1x+C_2x^2+.............+ C_n x^n , find the values of C_0^2+C_1^2+C_2^2+.....+C_n^2 .

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_1x + C_2x^2 + ………. + C_n x^n , prove that : C_0 + (C_1)/(2) + (C_2)/(3) + ……. + (C_n)/(n+1) = (2^(n+1) -1)/(n+1)

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 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 then the value of c_0+3c_1+5c_2+....+(2n+1)c_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_1x+C_2x^2+…..+C_nx^n .then show that C_1+2C_2+…. nC_n=n.2^(n-1) .