Fibonacci Sequence Calculator
Generate any Fibonacci number in the sequence instantly up to N=1000.
F(10)55
Sequence (up to F100)
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
The Golden Sequence
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so forth.
Applications in Nature
These numbers appear frequently in nature and mathematics, from the arrangement of leaves on a stem to the spirals of a pinecone or pineapple. As the numbers grow larger, the ratio between consecutive Fibonacci numbers approaches the Golden Ratio (~1.618).