What is the Fibonacci sequence?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, typically starting with 0 and 1. In the correct answer, the sequence begins with 0 and 1, followed by 1, 2, 3, 5, 8, and culminates in 13, perfectly illustrating the rule for generating Fibonacci numbers. Each number in this sequence is derived from the sum of the two numbers immediately before it (for example, 0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, and so forth).

Understanding that the Fibonacci sequence can start with different initial values is essential; however, the most commonly referenced sequence starts with 0 and 1. In educational contexts, this sequence is often used to illustrate mathematical concepts, such as recursion and growth patterns, and appears frequently in nature and art.