Fibonacci Sequence Calculator

Calculate any number in the Fibonacci sequence by entering its position (n).

Fibonacci number at position 10:
55
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Understanding the Fibonacci Sequence

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. The sequence starts with 0 and 1:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

Key Properties

  • Each number is the sum of the previous two numbers
  • The sequence starts with F(0) = 0 and F(1) = 1
  • The ratio of consecutive Fibonacci numbers approaches the golden ratio (≈ 1.618033989)

Formula

For any position n ≥ 2:

F(n) = F(n-1) + F(n-2)