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  • 01:33, 3 June 2023 Chemoelectric talk contribs created page Golden ratio/Convergence (Created page with "{{task}} The golden ratio can be defined as the continued fraction :<math>\phi = 1 + {1\over{1+{1\over{1+{1\over{1 + \cdots}}}}}}</math> Thus <math>\phi = 1 + {1/\phi}</math>. Multiplying both sides by <math>\phi</math> and solving the resulting quadratic equation for its positive solution, one gets <math>\phi = (1 + \sqrt{5})/2 \approx 1.61803398875</math>. The golden ratio has the slowest convergence of any continued fraction, as one might guess b...")