Fibonacci Calculator

About this calculator

This tool calculates the nth term of the Fibonacci sequence and lists the full sequence up to that term, where each number is the sum of the two numbers before it (0, 1, 1, 2, 3, 5, 8, 13, 21...), starting from the first two seed values. Because each term depends on the ones before it, computing a specific term far out in the sequence by hand quickly becomes tedious, which is exactly the kind of repetitive calculation this tool skips straight to.

It is used by students learning recursion, sequences and series in math or computer science courses, and by programmers testing recursive versus iterative algorithm implementations, since the Fibonacci sequence is one of the most common examples used to teach and benchmark recursion. It also shows up in biology and art discussions, where Fibonacci numbers and the related golden ratio are used to describe patterns like branching in plants, shell spirals and certain aesthetic proportions.