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\begin{theorem}[Sum of Arithmetic Series]

Let $(a_i)_{i \geq 0}$ be an arithmetic sequence with common difference $d$.
Then for some $n \in \mathbb{N}$,
$$\sum_{i=0}^n a_i = \frac{(n + 1)(a_0 + a_n)}{2}.$$

\end{theorem}

\begin{proof}

\href{Arithmetic.lean}{Common.Sequence.Arithmetic.sum_recursive_closed}

\end{proof}

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