Rs General Nil What Is The General Solution To The Summation ∑r^t Between The Limits R=1 And R=n?

What is the general solution to the summation ∑r^t between the limits r=1 and r=n? - rs general nil

R is a discrete variable that takes values only InterGen. t is a constant, but I need the general result that has a preference for any value of t, but if you are satisfied only if t is positive between the generations, which is pretty good.