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Math Calculators

Fibonacci Calculator

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

nth Fibonacci number

55

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Fibonacci Calculator

The Fibonacci Calculator works out your nth fibonacci number in an instant. Enter term number (n) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the term number (n).
  2. Read off your nth fibonacci number — the calculator updates automatically, with no button to press.

Worked example

For example, with term number (n) of 10, the nth fibonacci number is 55.

Inputs used
Term number (n) 10
Results
nth Fibonacci number 55

Results are estimates for educational use, not professional advice.

Frequently asked questions

Each term is the sum of the two before it: 0, 1, 1, 2, 3, 5, 8, 13, … The 10th term (counting from 1) is 55.

Binet's formula uses the golden ratio: Fₙ = (φⁿ − (1 − φ)ⁿ) ÷ √5, rounded to the nearest whole number.

The ratio of consecutive Fibonacci numbers approaches the golden ratio, about 1.618, as the numbers grow.

Very large terms exceed normal number precision. The calculator keeps n within a range where the result stays accurate.

Enter the term number (n). Read off your nth fibonacci number — the calculator updates automatically, with no button to press.

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