Fibonacci Sequence Generator
Generate Fibonacci sequences and explore the golden ratio pattern
How to use this generator:
📐 Fibonacci Sequence
Each number is the sum of the two preceding ones: F(n) = F(n-1) + F(n-2)
Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34...
🎓 Educational Use
Use case: Learn about mathematical sequences and patterns in nature.
🌿 Nature & Art
Use case: The Fibonacci sequence appears in nature (flower petals, spirals) and is related to the golden ratio (φ ≈ 1.618).
Sequence Settings
Enter the number of terms to generate
Summary
Sequence statistics
Enter number of terms and click "Generate"
Fibonacci Formula
Recursive Formula:
F(0) = 0
F(1) = 1
F(n) = F(n-1) + F(n-2) for n ≥ 2
First 15 Terms:
01123581321345589144233377
Fun Facts: The Fibonacci sequence appears in nature in the arrangement of leaves, flower petals, pine cones, and spiral shells. It's also used in computer algorithms, financial analysis, and art composition.