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The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If the first term is 5 and the common difference is 3, find \( S_{15} \).
\( a = 5, d = 3, n = 15 \)
\( S_{15} = \frac{15}{2}(2 \times 5 + 14 \times 3) \)

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