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Find the sum of the first 20 terms of the arithmetic sequence where the first term is 5 and the common difference is 3.
The formula for the sum \( S_n \) of the first \( n \) terms is \( S_n = \frac{n}{2} (2a + (n-1)d) \).
\( S_{20} = \frac{20}{2} (2 \times 5 + 19 \times 3) = 10 (10 + 57) = 10 \times 67 = 670 \).

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