How is it possible that when you divide 1 by 9,899, you get two-digit Fibonacci numbers also being c

bs1tuaz

bs1tuaz

Answered question

2022-05-20

How is it possible that when you divide 1 by 9,899, you get two-digit Fibonacci numbers also being carried, etc.?
When I divided 1 by 9,899, I got two-digit Fibonacci numbers also being carried: 0.0001010203050813213455904636
When I divided 1 by 89, I got one-digit Fibonacci numbers at the beginning: 0.0112359… (there was originally an eight, but there was carrying and it changed to a nine)
How does all of this happen? There is more than this, you know. What do you think is going on here?

Answer & Explanation

tatoas9f

tatoas9f

Beginner2022-05-21Added 11 answers

This happens because the generating function of the Fibonacci numbers is x 1 x x 2 . At x = 0.01 this is 100 9899

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