Fibonacci Sequence

What is the Fibonacci Sequence?

The Fibonacci sequence is a series where each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. It appears throughout nature.

How to Use This Tool

Enter the number of terms you want (up to 1000) and click "Generate". The tool displays the complete Fibonacci sequence.

Fibonacci Formula

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

Starting with F(0) = 0, F(1) = 1

Where Fibonacci Appears

• Nature: Flower petals, pinecones, seashells
• Art: Golden ratio compositions
• Finance: Trading retracement levels
• Computing: Algorithm optimization

FAQ

What's the Golden Ratio?
The ratio of consecutive Fibonacci numbers approaches φ (phi) ≈ 1.618.