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Fibonacci Sequence Generator
Generate the Fibonacci sequence up to 100 terms, or check if any number belongs to the sequence. Discover the maths behind nature's favourite pattern.
Frequently Asked Questions
The Fibonacci sequence is a series where each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21... Named after the Italian mathematician Leonardo of Pisa (Fibonacci), who introduced it to Western mathematics in 1202.
As you go further in the Fibonacci sequence, the ratio of consecutive terms approaches the golden ratio φ ≈ 1.6180339887. This ratio appears in art, architecture, and nature — from nautilus shells to galaxy spirals.
The 79th Fibonacci number exceeds the maximum safe integer in JavaScript (2⁵³ − 1). To keep calculations accurate without requiring big-number libraries, the tool limits output to 78 terms.