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Home » What about (2,3, -1)? No. - Blask

What about (2,3, -1)? No. - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 n = 7: 3(49) + 49 - 220 = 147 + 49 - 220 = -24

📌 n = 7.5: 3(56.25) + 52.5 - 220 = 168.75 + 52.5 - 220 = 1.25 → close

📌 So n ≈ 7.4 → not integer → contradiction.

📌 Wait: perhaps Sₙ = 110 is approximate?

📌 But in competition, must be exact.

📌 Instead, assume problem is correct and solve numerically:

📌 \( n = \frac{-7 + \sqrt{2689}}{6} \approx \frac{-7 + 51.85}{6} \approx 7.475 \)

📌 But n must be integer → no solution.

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