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Learning Math Home
Session 9, Part C: Fibonacci Numbers
 
Session 9 Part A Part B Part C Homework
 
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Session 9 Materials:
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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

Solution  

Here again is the Fibonacci sequence:

 Fibonacci Number

1

1

2

3

5

8

13

21

34

55

...

 Index of Numbers

1

2

3

4

5

6

7

8

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

Solution  

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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