The value of `sum_(r=1)^(18) cos^(2)(5r)^(@)`, where `x^(@)` denotes the x degree, is equal to

The value of sum_(r=1)^(5)(i^(r )-i^(r+1)) is, where i=sqrt(-1)

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)^(1024)[log_(2)r] is equal to,(I.] denotes the greatest integer function)

Evaluate lim_(n->oo) [sum_(r=1)^n(1/2) ^r] , where [.] denotes the greatest integer function.

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

The value of sum_(r=1)^1024 [log_2 r] is equal to, ([.] denotes the greatest integer function)

The value of sum_(r=2)^(100)(3^(r)(2-2r))/(r(r+1)(r+2)) is equal to

The value of sum_(r=1)^(n+1)(sum_(k=1)^n ^kC_(r-1)) (where r, k, n in N ) is equal to

If sum_(r=1)^(n)cos^(-1)x_(r)=0, then sum_(r=1)^(n)x_(r) equals to

Let S=sum_(r=1)^(117)(1)/(2[sqrt(r)]+1) where [.) denotes the greatest integer function.The value of S is