Find the value of `sum_(r=1)^(n-1)"sin"^(2)(rpi)/(n)`

Find the value of sum_(r=0)^(oo)tan^(-1)(1/(1+r+r^2))

Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geometric mean between a and b

Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the G. M. between a and b.

Find the sum sum _(r=1)^(n) (r )/((r+1)!)

The value of sum_(n=1)^(10) sum_(m=1)^(10) (m^(2)+n^(2)) equals

Find the value of n, if 12 xx ^((n-1))P_3= 5 xx ^((n+1))P_3

The value of sum_(r=0)^(n) (a+r+ar) (-a)^( r) is equal to

Let m be a positive integer and Delta_(r)=|(2r-1,""^(m)C_(r),1),(m^(2)-1,2^(m),m+1),(sin^(2)(m^(2)),sin^(2)(m),sin^(2)(m+1))|(0lerlem) Then the value of sum_(r=0)^(m)Delta_(r ) is given by a)0 b) m^(2)-1 c) 2^(m) d) 2^(m)sin^(2)(2^(m))

If sum_(r=1)^(n) T_(r) = n(2n^(2)+9n +13) then find sum_(r=1)^(n) sqrt(T_(r)) .