Fibonacci Generator

Generate Fibonacci sequences up to any term or limit

Number of Terms

Maximum 1000 terms

Formula

F(0) = 0, F(1) = 1

F(n) = F(n-1) + F(n-2) for n > 1

The golden ratio φ = (1 + √5) / 2 ≈ 1.6180339887...

As n increases, the ratio F(n+1)/F(n) approaches φ.

Actions:

How to Use

What is the Fibonacci sequence?

Each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

How many terms can I generate?

The tool can generate hundreds of terms, limited only by JavaScript's number precision.

Does it show the golden ratio?

Yes. The ratio between consecutive Fibonacci numbers approaches the golden ratio (approximately 1.618).