What is the Fibonacci sequence and where is it used?

What is the Fibonacci sequence and where is it used?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. It's used in various fields such as mathematics, computer science, and even in nature, like the arrangement of leaves on a stem.

Can you give me an example of the sequence?

Sure! The Fibonacci sequence starts like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. Each number is the sum of the two before it.

How is it related to the golden ratio?

Great question! As you progress further in the Fibonacci sequence, the ratio of consecutive Fibonacci numbers approaches the golden ratio, approximately 1.618. This ratio appears in various aspects of art, architecture, and nature.

What are some real-world applications of the Fibonacci sequence?

The Fibonacci sequence appears in computer algorithms, financial markets, and even in biological settings, like the branching of trees and the arrangement of pine cones.