# Math Club (May) : Fibonacci Numbers (Patterns, Puzzles and Geometry)

• ##### Week 1

Problems with Fibonacci series

• ##### Week 2

Experiments with Fibonacci series

• ##### Week 3

Previous Challenges and a strategy game!

• ##### Week 4

The Chocolate division and Nim Strategy Game

## Math Club (May) : Fibonacci Numbers (Patterns, Puzzles and Geometry)

### Challenge 3

Here is a new experiment to try out. Here is the Fibonacci series.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …..

Divide 2 consecutive terms of the Fibonacci series. For example:

The 1st and 2nd terms: 1/1 = 1
The 2nd and 3rd terms: 2/1 = 2
The 3rd and 4th terms: 3/2 = 1.5
………..

Do it for at least 5 more terms. Do you observe any pattern or anything interesting?

## 5 thoughts on “Challenge 3”

1. Sir, I agree with Chinmay

2. 1.7

3. It is always close to 1.6 except the first 3 calculations.

1. i agree with chinmay

4. 1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.666666 (recurring)
8/5 = 1.6
13/8 = 1.625
21/13 = 1.615384 (recurring)
34/21= 1.619047 (recurring)