Fibonacci Calculator
Generate the Fibonacci sequence and find specific terms.
Each number the sum of the two before
The Fibonacci sequence starts with zero and one, and each following number is the sum of the two before it — 0, 1, 1, 2, 3, 5, 8, 13, and on. This generates the sequence and finds specific terms, a pattern famous well beyond mathematics.
Generate the sequence or find a particular term.
Why Fibonacci fascinates
The Fibonacci sequence is celebrated because it appears throughout nature — in the spiral of a sunflower's seeds, the arrangement of leaves, the branching of trees — where the pattern emerges from efficient growth, not coincidence. It also has a beautiful mathematical property: the ratio of consecutive Fibonacci numbers gets closer and closer to the golden ratio as the sequence grows, tying it to that famous proportion in art and design. Some of the natural appearances are genuine and some are overstated in popular retellings, so it is worth a little skepticism about the more mystical claims. Even so, that a rule as simple as adding the last two numbers produces a pattern woven through both nature and geometry is one of maths' genuine delights.
Questions & answers
How is the Fibonacci sequence built?
Start with 0 and 1, then each number is the sum of the two before it — 0, 1, 1, 2, 3, 5, 8, 13, and so on.
How does it relate to the golden ratio?
The ratio of consecutive Fibonacci numbers gets closer to the golden ratio as the sequence grows, tying it to that famous proportion.
Is anything uploaded?
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