Fibonacci Generator

Generate the sequence without computing it by hand

The Fibonacci sequence, where each number is the sum of the two before it, appears throughout maths, nature and computer science. This generator produces the sequence up to a number of terms or up to a maximum value, so you get the exact numbers without adding them one pair at a time.

Why the sequence matters

Fibonacci numbers are more than a curiosity. The ratio between consecutive terms approaches the golden ratio, which is why the sequence appears in the spirals of shells, the arrangement of leaves and the proportions artists reach for. In computing it is the classic example for teaching recursion and dynamic programming. Generating the actual numbers makes those patterns concrete rather than abstract.

Two ways to bound it

You may want a fixed count of terms, the first twenty, say, or every term below a limit, all Fibonacci numbers under a thousand. The generator supports both because different problems ask for different bounds. The numbers grow quickly, roughly multiplying by the golden ratio each step, so a limit is reached in surprisingly few terms. The computation runs in your browser.

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