The Fibonacci sequence was first found by an Italian named Leonardo Pisano Bigollo. Fibonacci numbers are a sequence of whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... This infinite sequence is called the Fibonacci sequence. Observe that, the first number in a Fibonacci sequence is always 0. The Fibonacci sequence formula is useful to find any of the terms of the Fibonacci sequence. Fibonacci sequence is represented as the spiral shown below.
The Fibonacci formula is used for calculating the numbers in the Fibonacci sequence. Let us learn the Fibonacci formula with its derivation and a few solved examples.
What is the Fibonacci Formula?
The Fibonacci formula, if explained in simple terms, says that every number in the Fibonacci sequence is the sum of two numbers preceding it in the sequence. Thus, the Fibonacci formula is given as follows.