Question 1161299: To calculate permutations of the golden ratio start by writing the first 20 numbers of the Fibonacci sequence by starting with the first two numbers 0, and 1. The next number of the sequence comes from adding the previous two together (0 + 1 = 1), so the next number would be 1 and the sequence would be 0, 1, 1, …. Then you repeat for the next number in the sequence ( 1 + 1 = 2), so the sequence would be 0,1,1,2. And repeat again (1+2 = 3) so the sequence becomes 0, 1, 1, 2, 3… And so on. (Hint: the next number is NOT 4).
b) To calculate the gold ratio, for each permutation, take the second number and divide it by the previous number:
1/0 = can’t do so you can skip this one step,
then repeat with the next two numbers,
1/1 = 1
And repeat again with the next two numbers,
2 / 1 = 2
Keep repeating….
3/2 = 1.5
Keep repeating for as many permutations as you can. What number to eventually get to and what do you notice about the pattern?
Answer by solver91311(24713)   (Show Source):
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