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?