If `T_r=r(r^2-1),` then find `sum_(r=2)^oo1/Tdot`

If sum_(r=1)^n T_r=(3^n-1), then find the sum of sum_(r=1)^n1/(T_r) .

If sum_(r=1)^n T_r=n(2n^2+9n+13), then find the sum sum_(r=1)^nsqrt(T_r)dot

If M is the matrix [(1,-3),(-1,1)] then find matrix sum_(r=0)^(oo) ((-1)/3)^(r) M^(r+1)

If Sigma_(r=1)^(n) T_r=n/8(n+1)(n+2)(n+3) then find Sigma_(r=1)^(n) 1/T_r

If A=pi/5, then find the value of sum_(r=1)^8tan(r A)*tan((r+1)A)dot

Find the sum Sigma_(r=1)^(n) 1/(r(r+1)(r+2)(r+3)) Also,find Sigma_(r=1)^(oo) 1/(r(r+1)(r+2)(r+3))

Find the sum Sigma_(r=1)^(oo) (r)/(r^4+1/4)

If the sum of the series Sigma_(n=0)^(oo) r^(n),|r|le 1 is s, then find the sum of the series Sigma_(n=0)^(oo) r^(2n),|r|le 1

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

An odd function is symmetric about the vertical line x=a ,(a >0),a n dif sum_(r=0)^oo[f(1+4r]^r=8, then find the value of f(1)dot