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Q: What is The Golden Ratio? How is it used in Mathematics?
Physicist: The golden ratio, g, is . The golden ratio is defined in many (equivalent) ways but the best known is: if A and B are two numbers such that the ratio of A+B to A is equal to the ratio of A to B, then g=A/B. A rectangle, where the ratio of the long side to the short side is g, is called the “golden rectangle”. For example; the Fibonacci sequence is a string of numbers, F 0 , F 1 , F 2 , … such that F N = F N-1 + F N-2 and F 0 = 0 and F 1 = 1. So what does the golden ratio have to do with the Fibonacci sequence?
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