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Home » b_3 = \frac34 - \frac14 \cdot \frac81256 = \frac34 - \frac811024 - Silent Sales Machine

b_3 = \frac34 - \frac14 \cdot \frac81256 = \frac34 - \frac811024 - Silent Sales Machine

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Denominator: $ 3(1 - 7) = 3(-6) = -18 $.
So ratio: $ \frac{10 + 4\sqrt{7}}{-18} = -\frac{5 + 2\sqrt{7}}{9} $.
Now $ x = -\frac{\sqrt{7}}{3} $:
\frac{1 - \frac{\sqrt{7}}{3}}{1 + \sqrt{7}} = \frac{\frac{3 - \sqrt{7}...
Multiply by $ 1 - \sqrt{7} $:
Numerator: $ (3 - \sqrt{7})(1 - \sqrt{7}) = 3 - 3\sqrt{7} - \sqrt{7} +...
Denominator: $ 3(1 - 7) = -18 $.
Ratio: $ \frac{10 - 4\sqrt{7}}{-18} = -\frac{5 - 2\sqrt{7}}{9} $.
Now both are negative — still problem. But ratio of third to first: if...
But in symmetric AP, if $ d > 0 $, $ a - 3d $ could be negative. To ma...

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