---
title: "Teelscoping Series"
source: https://www.jemoka.com/posts/kbhteelscoping_series/
---

&hellip;is a series for which pairs cancel out:
\begin{equation} (1-x)(1+x+ \dots + x^{n-1}) \end{equation}
you will note that, though the expansion of this result, pairs of:
\begin{equation} -x^{j} + x^{j} \end{equation}
form. And you will note those cancel. Hence this is a telescoping series.
