If `C_0, C_1, C_2, ..., C_n` denote the binomial coefficientsin the expansion of `(1 + x)^n`, then `C_0/2-C_1/3+C_2/4-C_3/5+........+(-1)^n C_n/(n+2)=`

If C_0, C_1,C_2 ..., C_n , denote the binomial coefficients in the expansion of (1 + x)^n , then C_1/2+C_3/4+C_5/6+...... is equal to

If C_0, C_1,C_2 ..., C_n , denote the binomial coefficients in the expansion of (1 + x)^n , then C_1/2+C_3/4+C_5/6+...... is equal to

If C_o, C_1, C_2 ....,C_n C denote the binomial coefficients in the expansion of (1 + x)^n, then 1^3. C_1 + 2^3 . C_2 + 3^3 .C_3 + ... + n^3 .C_n, =

If C_(0), C_(1), c_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then C_(0) + (C_(1))/(2) + C_(2)/(3) + ...+ (C_(n))/(n+1) or, sum_(r=0)^(n) (C_(r))/(r+ 1)

If C_0,C_1,C_2..C_n denote the coefficients in the binomial expansion of (1 +x)^n , then C_0 + 2.C_1 +3.C_2+. (n+1) C_n

If C_0,C_1,C_2,.......,C_n denote the binomial coefficients in the expansion of (1+1)^n, then sum_(0ler) sum_(< s le n) (C_r+C_s)

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1^(2). C_(1) - 2^(2) . C_(2)+ 3^(2). C_(3) -4^(2)C_(4) + ...+ (-1).""^(n-2)n^(2)C_(n)= .

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1^(2). C_(1) - 2^(2) . C_(2)+ 3^(2). C_(3) -4^(2)C_(4) + ...+ (-1).""^(n-2)n^(2)C_(n)= .

If C_(0), C_(1), C_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^n) , then xC_(0)-(x -1) C_(1)+(x-2)C_(2)-(x -3)C_(3)+...+(-1)^(n) (x -n) C_(n)=

If C_(0), C_(1), C_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^n) , then xC_(0)-(x -1) C_(1)+(x-2)C_(2)-(x -3)C_(3)+...+(-1)^(n) (x -n) C_(n)=