Find the sum `3^n C_0-8^n C_1+13^n C_2 - 18^n C_3+..`

Find the sum ^(n)C_(0)+^(n)C_(4)+^(n)C_(8)+...

The sum 3 .^(n)C_(0)-8.^(n)C_(1)+13 .^(n)C_(2)-18xx.^(n)C_(3)+.... is less than

Find the sum .^(n)C_(1) + 2 xx .^(n)C_(2) + 3 xx .^(n)C_(3) + "……" + n xx .^(n)C_(n) .

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

Find the sum C_(0)+3C_(1)+3^(2)C_(2)+...+3^(n)C_(n)

Find the sum : 1/2*""^(n)C_0+""^(n)C_1+2*""^(n)C_2+2^2*""^nC_3+...+2^(n-1)*""^(n)C_n .

Find the sum : ""^(2n+1)C_0+""^(2n+1)C_1+""^(2n+1)C_2+...+""^(2n+1)C_n .

Important facts and formula to find Sum of Series.Find the sum C_(0)+3C_(1)+3^(2)C_(2)+......3^(n)C_(n)