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@jemoka / Jemoka Knowledge Base / wiki/concepts/teelscoping_series.md
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--- title: "Teelscoping Series" type: concept source: https://www.jemoka.com/posts/kbhteelscoping_series/ confidence: high status: active --- …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.