Session 9, Part C: Fibonacci Numbers
In This Part: The Fibonacci Sequence | Ratios of Fibonacci Numbers The Golden Mean and the Golden Rectangle
Problem C2
Here again is the Fibonacci sequence:
Fibonacci Number
1
2
3
5
8
13
21
34
55
...
Index of Numbers
4
6
7
9
10
Using a calculator, find the decimal value of the ratio of the first 10 consecutive Fibonacci numbers. What pattern do you find?
1/1
______
2/1
3/2
5/3
8/5
13/8
21/13
34/21
55/34
Problem C3
Make a conjecture about the ratio of the 100th to the 99th Fibonacci number.
Next > Part C (Continued): The Golden Mean and the Golden Rectangle
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