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No integer n satisfies exactly—recheck: - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question:** Find the sum of the first 10 terms of an arithmetic sequence where the first term is 3 and the common difference is 5.

📌 Use the formula for the sum of an arithmetic sequence \(S_n = rac{n}{2}(2a + (n-1)d)\)

📌 \(n = 10\), First term \(a = 3\), Common difference \(d = 5\)

📌 \(S_{10} = rac{10}{2}(2 imes 3 + 9 imes 5)\)

📌 \(S_{10} = 5(6 + 45) = 5 imes 51 = 255\)

📌 Question:** Solve for \(x\) in the equation \(2x^2 - 8x + 6 = 0\) using the quadratic formula.

📌 Quadratic formula: \(x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

📌 \(b^2 - 4ac = (-8)^2 - 4 imes 2 imes 6 = 64 - 48 = 16\)

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