Fibonacci Generator
Generate Fibonacci sequences and calculate specific Fibonacci numbers. Explore the golden ratio, pattern analysis, and mathematical properties of the famous Fibonacci series.
Fibonacci Generator
Generate Fibonacci sequences and calculate specific Fibonacci numbers
Generate Sequence
Calculate Nth Number
About the Fibonacci Sequence
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1.
Formula: F(n) = F(n-1) + F(n-2), where F(0) = 0 and F(1) = 1
Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
Golden Ratio: φ = 1.618034 (ratio of consecutive Fibonacci numbers approaches this)
Applications:
- Nature: Flower petals, pinecones, spiral shells
- Art and architecture: Proportions and compositions
- Computer science: Algorithms and data structures
- Financial markets: Technical analysis