Is there a shorthand function for this repetitive equation

Question

I was looking for a way to get the answer to this equation without having to repeatedly type out each number $$ x^{y}+x^{y+1}+x^{y+2}+...+x^{y+n} $$ What is the smallest equation that outputs the same answer as this one?

Answer 1

The smallest shorthand is $S$.

If you need to express this sum for other variables and/or other numbers of terms, you need to add them as argument or indexes.

E.g. $S_w$ with meaning $\displaystyle\sum_{k=y}^{y+n}w^k$.