Generate the first N Fibonacci numbers, computed iteratively with exact big-integer arithmetic.
Fibonacci Sequence
How many terms? Results update live.
Last term
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Enter a count to generate the sequence.
Terms
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F(n)/F(n-1)
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Formula: F(1) = 1, F(2) = 1, F(n) = F(n-1) + F(n-2). The ratio of consecutive terms approaches the golden ratio 1.618...
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Built by simple addition
Each Fibonacci number is the sum of the two before it: 1, 1, 2, 3, 5, 8, and so on. The tool builds the list iteratively, so even the 500th term (a 105-digit number) is computed exactly using big-integer arithmetic instead of floating point.
The golden ratio connection
As the sequence grows, the ratio of each term to the previous one settles toward the golden ratio, about 1.618034. This constant appears in art, architecture, and nature, which is part of why the sequence is so famous.