Discuss the relationship between Fibonacci numbers and Golden Ratio.
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- The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. - The sequence is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... Show more…
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The ratio of Fibonacci (n+1)/Fibonacci (n) as n gets larger is said to approach the golden ratio, which is approximately equal to 1.618. What happens to the inverse of this ratio, Fibonacci (n)/Fibonacci (n+1)? What number does this quantity approach? How does this compare to the original ratio?
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The ratio between consecutive terms of the Fibonacci Sequence converge to which number? Common Ratio Geometric Ratio Golden Ratio Conjugate Golden Ratio
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The Fibonacci sequence is defined as follows: F0 = 0, F1 = 1 and for n larger than 1, FN+1 = FN + FN-1. Set up a spreadsheet to compute the Fibonacci sequence. Show that for large N, the ratio of successive Fibonacci numbers approaches the Golden Ratio (1.61).
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