Fibonacci Calculator

Enter index n.
Math

Calculate fibonacci with explicit inputs and a worked example.

Formula

F₀=0; F₁=1; Fₙ=Fₙ₋₁+Fₙ₋₂

Example Calculation

Example inputs
  • Index n: 10

F₁₀ = 55.

Frequently asked questions

How do I use this calculator?

Enter index n. The result updates automatically. Use Reset to restore the example values.

What method does it use?

F₀=0; F₁=1; Fₙ=Fₙ₋₁+Fₙ₋₂. Indices stop at 78 to keep every returned integer exact in JavaScript.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.