Fibonacci Calculator — nth Number & Sequence
Use this free Fibonacci calculator to find the nth Fibonacci number — computed exactly even for large n — along with the surrounding sequence and how the ratio of consecutive terms approaches the golden ratio.
The Fibonacci sequence
It starts F(0) = 0, F(1) = 1, and every term after is the sum of the two before it. The ratio F(n)/F(n−1) approaches the golden ratio φ ≈ 1.618.
How to use it
- Enter a whole number n (0 to 1000).
- Press Compute.
More tools: free math calculators.
Frequently asked questions
How large can n be?
Up to 1000. Large results are computed exactly using big integers.
What is the golden ratio connection?
As n grows, F(n)/F(n−1) gets closer and closer to φ ≈ 1.6180339887.
Does the sequence start at 0 or 1?
Here F(0) = 0 and F(1) = 1.
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