23 lines
421 B
TeX
23 lines
421 B
TeX
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\documentclass{article}
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\usepackage{amsfonts, amsthm}
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\newtheorem{theorem}{Theorem}
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\begin{document}
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\begin{theorem}[Sum of Arithmetic Series]
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Let $(a_i)_{i \geq 0}$ be an arithmetic sequence with common difference $d$.
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Then for some $n \in \mathbb{N}$,
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$$\sum_{i=0}^n a_i = \frac{(n + 1)(a_0 + a_n)}{2}.$$
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\end{theorem}
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\begin{proof}
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Common.Sequence.Arithmetic.sum\_recursive\_closed
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\end{proof}
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\end{document}
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