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_(2)x^(2)+...+c_(n)x^(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_(1) x + C_(2) x^(2) + ... + C_(n) x^(n) , then value of C_(0)^(2) + 2C_(1)^(2) + 3C_(2)^(2) + ... + (n + 1) C^(2)n is

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+...+C_(n)x^(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_n x^n , prove that : C_0 + 2C_1 + ….. + 2 ""^nC_n = 3^n

If (1+x+x^(2))^(n)=(C_(0)+C_(1)x+C_(2)x^(2)+.........) then the value of C_(0)C_(1)-C_(1)C_(2)+C_(2)C_(3)...

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+…..+C_(n)x^(n) , then the value of sumsum_(0lerltslen)(r*s)C_(r)C_(s) 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)