Solving Recurrences Example - Fibonacci (Recursion-Tree Method)

The Fibonacci sequence is a series of numbers where each number is the sum of the previous two. It starts with 0 and 1, and the sequence continues as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. The sequence is named after the Italian mathematician Leonardo of Pisa, who was also known as Fibonacci. The Fibonacci sequence is found in nature in many forms, and is often associated with the golden ratio, a mathematical ratio that is approximately 1.618. The golden ratio is consi