What is the Fibonacci sequence and how is it used?

What is the Fibonacci sequence and how is it used?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. It's used in various fields like mathematics, computer science, and even nature.

Can you give me an example of the sequence?

Sure! The sequence starts like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

Where can I find the Fibonacci sequence in nature?

You can find the Fibonacci sequence in the arrangement of leaves on a stem, the branching of trees, and the pattern of seeds in a sunflower.

How is it applied in computer algorithms?

In computer science, the Fibonacci sequence is used in algorithms for sorting and searching, as well as in data structures like Fibonacci heaps.

Are there any interesting facts about Fibonacci?

Yes! One interesting fact is that the ratio of successive Fibonacci numbers approaches the golden ratio, approximately 1.618.