" The value of "1C_(1)+2C_(2)+3C_(3)+............nC_(n)" is "

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

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 c_(0),c_(1),c_(2)..........c_(n) denote the co-efficients in the expansion of (1+x)^(n) then the value of c_(1)+2c_(2)+3c_(3)+.......+nc_(n) is

If the value of C_(0)+2C_(1)+3C_(2)+ . . .+(n+1)C_(n)=576 , then n is

If C_0,C_1,C_2,........, C_n denote the coefficients in the expansion of (1+ x)^n , then the value of : C_1+2C_2+3 C_3+..... +nC_n is :

If the value of C_(0) + 2C_(1) + 3C_(2) + ……. + (n+1) C_(n) =576 then n is :

The value of nC_(r-3)3^(n)C_(r-2)+3^(n)C_(r-1)+nC_(r) is equal to

If (1+x)^(n)=sum_(r=0)^(n)C_(r)x^(r) then prove that C_(1)+2C_(2)+3C_(3)+....+nC_(n)=n2^(n-1)

If (1+x)^(n) = overset(n)underset(r=0)Sigma C_(r)x^(r ) , then prove that C_(1)+2C_(2)+3C_(3)+…..+nC_(n)=n2^(n-1) .