The value of `C_1/2+C_3/4+C_5/6+……….` is equal to (A) `(2^n=1)/(n-10` (B) `2^n/(n=1)` (C) `(2^n+1)/(n+1)` (D) `(2^n-1)/(n+1)`

The value of ^n C_1+^(n+1)C_2+^(n+2)C_3++^(n+m-1)C_m is equal to (a)^m+n C_(n-1) (b)^m+n C_(n-1) (c)^mC_(1)+^(m+1)C_2+^(m+2)C_3++^(m+n-1) (d)^m+1C_(m-1)

(n+2)C_(0)(2^(n+1))-(n+1)C_(1)(2^(n))+(n)C_(2)(2^(n-1))- is equal to

The arithmetic mean of 1,2,3,...n is (a) (n+1)/(2) (b) (n-1)/(2) (c) (n)/(2)(d)(n)/(2)+1

( (C_0 +C_1)(C_1 + C_2)(C_2 +C_3).....(C_(n-1) +C_n))/(C_0C_1C_2....C_n)= (A) (n+1) ^n/n (B) (n+1)^(n-1)/n! (C) (n+1)^n/(n!)(D) (n+1)/(n!)

The value of sum_(r=0)^(n)(a+r+ar)(-a)^(r) is equal to (-1)^(n)[(n+1)a^(n+1)-a]b(-1)^(n)(n+1)a^(n+1) c.(-1)^(n)((n+2)a^(n+1))/(2)d(-1)^(n)(na^(n))/(2)

2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1)

The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n-1)!1!) is = (A) 1/(n!2^n) (B) 2^n/n! (C) 2^(n-1)/n! (D) 1/(n!2^(n-1)

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these

If omega is a complex cube root of unity,then the value of the expression 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))+...+(n-1)(n-omega)(n-omega^(2))(n-omega^(2))(n>=2) is equal to (A) (n^(2)(n+1)^(2))/(4)-n( B) (n^(2)(n+1)^(2))/(4)+n( C) (n^(2)(n+1))/(4)-n(D)(n(n+1)^(2))/(4)-n