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?
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This is not an equation. – Apr 27 '21 at 20:38
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$\sum_{i=0}^n x^{y+i}$ maybe? – S.Farr Apr 27 '21 at 20:39
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xʸ+xʸ⁺¹+xʸ⁺²+...+xʸ⁺ⁿ=z – Vexian Empire Apr 27 '21 at 20:40
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Hi and welcome to Math.SE. It would be preferable to use MathJax for mathematical expressions. Check out math.stackexchange.com/help/notation to get started if you're unfamiliar with it. – user3733558 Apr 27 '21 at 20:41
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$$ x^{y}+x^{y+1}+x^{y+2}+...+x^{y+n}=z $$ – Vexian Empire Apr 27 '21 at 20:43
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$x^y(1+x+\cdots+x^n)=x^y(1-x^{n+1})/(1-x)$ – Aaron Hendrickson Apr 27 '21 at 21:24