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Home / Numerator: $ 1 + 2.5 + 6.25 + 15.625 = 25.375 $

Numerator: $ 1 + 2.5 + 6.25 + 15.625 = 25.375 $

February 22, 2026

Numerator: $ 1 + 2.5 + 6.25 + 15.625 = 25.375 $

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rac{1 + 3 + 9 + 27}{3^{1.5}} = rac{40}{3\sqrt{3}} pprox rac{40}{5.196} pprox 7.7 > 6
Try $ r = 2.5 $:
r^{1.5} = (2.5)^{1.5} = \sqrt{2.5^3} = \sqrt{15.625} pprox 3.95
Then: $ rac{25.375}{3.95} pprox 6.42 > 6 $
Try $ r = 2.3 $:
r^{1.5} pprox \sqrt{2.3^3} = \sqrt{12.167} pprox 3.49

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