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Home » The slope \( m \) formula is \( m = \fracy_2 - y_1x_2 - x_1 \). - Get link 4share

The slope \( m \) formula is \( m = \fracy_2 - y_1x_2 - x_1 \). - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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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 \( S_n = 2n^2 + 3n \).

📌 a_n = S_n - S_{n-1}

📌 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

📌 a_{10} = S_{10} - S_9 = 230 - 189 = 41

📌 #### 10th term: 41

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