Fibonacci number: Difference between revisions

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<!-- Taken from en.wikipedia.org/wiki/Fibonacci number -->
<!-- Taken from en.wikipedia.org/wiki/Fibonacci number -->
In mathematics, the '''Fibonacci numbers''' form a [[sequence]] defined by the following [[recurrence relation]]:
In mathematics, the '''Fibonacci numbers''' form a [[sequence]] defined by the following [[recurrence relation]]:

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In mathematics, the Fibonacci numbers form a sequence defined by the following recurrence relation:

The sequence of fibonacci numbers start: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...

Fibonacci numbers and the rabbits

The sequence of fibonacci numbers was first used, to repesent the growth of a colony of rabbits, starting with one pair of rabbits.

Properties

  • The quotient of two consecutive fibonacci numbers converges to the golden ratio:
  • If divides then divides
  • If is a prime number, then is also a prime number.

Further reading