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There not a Fibonacci number but an infinite sequence of number. The sequence is defined as follows:

U1 = 1

U2 = 1

Un = Un-2 + Un-1

I am not sure what you mean by how it works. Apparently Fibonacci though of it when trying to model the population of rabbits that could keep on breeding, with no deaths from predators, no shortages of food etc. It seems too naive a model for a mathematician of his abilities.

The sequence is found in a very large number of biological situations, and there are very many web sites dedicated to the Fibonacci sequence in nature.

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11y ago

What else can I help you with?