If `x^2-x+1=0`,then the value of `sum_(r=1)^2010 (x^r_1/x^r)^3` is equal to

If x^(2)+x+1=0 then find the value of sum_(r=1)^(27)(x^(r)+(1)/(x^(r)))^(2)

The value of sum_(x=1)^(n)(-1)^(r+1)(C(n,r))/(r+1) is equal to

If x^(2)+x+1=0 , then sum_(r=1)^(2005)(x^(r)+(1)/(x^(r)))^(3)=

If C_(r) be the coefficients of x^(r) in (1 + x)^(n) , then the value of sum_(r=0)^(n) (r + 1)^(2) C_(r) , is

If C_(r) be the coefficients of x^(r) in (1 + x)^(n) , then the value of sum_(r=0)^(n) (r + 1)^(2) C_(r) , is

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

The value of sum_(r=1)^(5)(x^(r)+(1)/(x^(r)))^(2), where x^(2)+x+1=0is:-

The value of sum_(r=1)^n1/(sqrt(a+r x)+sqrt(a+(r-1)x)) is -