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Home » #### \(x^2 - x - 6 = 0\) - wispro

#### \(x^2 - x - 6 = 0\) - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Thus, maximum profit is $20,000.

📌 #### Maximum profit: $20,000 at 500 units

📌 The sum of the first \( n \) terms of an arithmetic sequence is \( S_n = 3n^2 + 5n \). Find the 10th term.

📌 The \( n \)-th term is \( a_n = S_n - S_{n-1} \).

📌 \( S_{10} = 3(100) + 5(10) = 300 + 50 = 350 \)

📌 \( S_9 = 3(81) + 5(9) = 243 + 45 = 288 \)

📌 \( a_{10} = 350 - 288 = 62 \)

📌 #### 10th term: 62

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