Fibonacci sequence and Geometric sequence

Fibonacci series is defined in Wikipedia as below:

By definition, the first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,  …
or (often, in modern usage):
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …The Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:

There is an interesting relation between Fibonacci sequence and Geometric sequence. See the article below.