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

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

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum of sum_(r=1)^n(r^n C_r)/(n C_(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 of the series sum_(r=1)^n rxxr !dot

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

Find the sum sum_(r=1)^n r^2(^n C_r)/(^n C_(r-1)) .

If the sum of the series sum_(n=0)^oor^n ,|r|<1 is s , then find the sum of the series sum_(n=0)^oor^(2n) .