If `sum_(r=1)^n T_r= n(2n^2+9n+13)`; then find the value of `sum_(r=1)^n sqrt(T_r)`

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

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

What is the value of sum_(r=1)^(n) (P(n, r))/(r!) ?

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2))/(6), then the value of sum_(r=1)^(oo)((1)/(T_(r))) is equal to

The value of sum_(r=1)^(n)(""^(n)P_(r))/(r!) is

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))

If sum_(r=1)^(n)r^(4)=F(x), then prove that the value of sum_(n=1)^(n)r(n-r)^(3) is (1)/(4)[n^(3)(n+1)^(2)-4F(x)]