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Unit Project : Fibonacci Numbers & The Golden Ratio
Step One:
The following is the start of the Fibonacci series
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …
1. What is the pattern in the Fibonacci series?
2. Continue the Fibonacci series up to 1,346,269. Feel free to type your list or write it on a separate sheet of paper.
Step Two:
The Fibonacci numbers are a pattern. However, there are patterns within the pattern of the Fibonacci series.
3. Find and explain one such pattern.
Ex. Multiples of 5: When starting at 5 in the Fibonacci sequence, all multiples of 5 are every 5th Fibonacci number.
0,1,1,2,3,5,8,13,21,34,55,
so… every 5th Fibonacci number is a multiple of 5
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