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feat(handouts): Clarify geo series in Summation
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vEnhance committed Dec 26, 2023
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Expand Up @@ -868,6 +868,7 @@ \subsection{Linear recurrences}
\[
L(x) = \sum_{n \ge 0} L_n x^n
= \frac{1}{1-\alpha x} + \frac{1}{1 - \beta x}
= \sum_{n \ge 0} (\alpha x)^n + \sum_{n \ge 0} (\beta x)^n
= \sum_{n \ge 0} \left( \alpha^n + \beta^n \right)x^n.
\]
So we're done upon equating coefficients.
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