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What is the formula for the $n$-th term of an arithmetic sequence, and what do the symbols represent?

デッキ「ACT Mastery: English, Math, Reading & Science」の単語カード。

解答

$a_n = a_1 + (n - 1)d$, where $a_1$ is the first term and $d$ is the common difference.

解説

The sum of the first $n$ terms is $S_n = \frac{n}{2}(a_1 + a_n)$.

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