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Home » A' = \frac{\sqrt3}4 \times 10 - Silent Sales Machine

A' = \frac{\sqrt3}4 \times 10 - Silent Sales Machine

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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\( 110 = \frac{n}{2}(2 \times 5 + (n-1) \times 3) \)
\( 110 = \frac{n}{2}(10 + 3n - 3) \)
\( 110 = \frac{n}{2}(3n + 7) \)
\( 220 = n(3n + 7) \)
\( 3n^2 + 7n - 220 = 0 \)
Solving the quadratic: \( n = \frac{-7 \pm \sqrt{49 + 2640}}{6} = \fra...
\( \sqrt{2689} \approx 51.85 \), so \( n \approx \frac{44.85}{6} \appr...
Try n = 8: \( S_8 = \frac{8}{2}(10 + 21) = 4 \times 31 = 124 \) (too h...
Try n = 7: \( S_7 = \frac{7}{2}(10 + 18) = 3.5 \times 28 = 98 \)
Try n = 10: \( \frac{10}{2}(10 + 27) = 5 \times 37 = 185 \)

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