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The Caffeine Content of Starbucks Coffee - starbmag

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The Caffeine Content of Starbucks Coffee - starbmag
The Caffeine Content of Starbucks Coffee - starbmag
The Caffeine Content of Starbucks Coffee - starbmag
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Substitute $ x = \sqrt{\frac{28}{9}} = \frac{2\sqrt{7}}{3} $:
r = \frac{1 + \frac{1}{2} \cdot \frac{2\sqrt{7}}{3}}{1 - \frac{3}{2} \cdot \frac{2\sqrt{7}}{3}} = \frac{1 + \frac{\sqrt{7}}{3}}{1 - \sqrt{7}}.
As before, this evaluates to $ -\frac{5 + 2\sqrt{7}}{9} $, but this is negative, which contradicts the premise unless the terms are not ordered. However, the ratio of third to first term is geometric in symmetric AP.

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