Fibonacci Calculator

Find the nth Fibonacci number and the golden ratio approximation.

Quick answer: Fibonacci Calculator: Find the nth Fibonacci number and the golden ratio approximation. Everything runs in your browser, so nothing you enter is uploaded or stored.

How to use Fibonacci Calculator

  1. Enter your values in the fields.
  2. The results update instantly as you type.
  3. Note or copy the numbers you need.

Features

Formula

F(n) = F(n-1) + F(n-2).

Worked example

F(20) is 6,765.

Frequently asked questions

What is the Fibonacci sequence?

Each number is the sum of the two before it: 0, 1, 1, 2, 3, 5, 8.

How large can n be?

Up to 78 for exact results in this tool.

Is the Fibonacci Calculator free?

Yes. It is free, needs no signup and works on any device.

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