a_n = S_n - S_{n-1}
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- The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = 2n^2 + 3n \). Find the 10th term of the sequence.
- The sum of the first \( n \) terms is \( S_n = 2n^2 + 3n \).
- Calculate \( S_{10} \) and \( S_9 \):
- S_{10} = 2(10)^2 + 3(10) = 200 + 30 = 230
- S_9 = 2(9)^2 + 3(9) = 162 + 27 = 189
