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Fibonacci Number Generator

Generate Fibonacci numbers in a range

Fibonacci Numbers Between 0 and 20

No Fibonacci numbers found in this range

About Fibonacci Numbers

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. The sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

Properties:

  • Each number is the sum of the two preceding ones
  • The ratio of consecutive Fibonacci numbers approaches the golden ratio (φ ≈ 1.618)
  • Fibonacci numbers appear in nature (flower petals, pinecones, shells)
  • They have applications in computer algorithms and financial markets

Mathematical Definition:

F₀ = 0, F₁ = 1,
Fₙ = Fₙ₋₁ + Fₙ₋₂ for n ≥ 2

Did You Know?

The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, later known as Fibonacci, who introduced it to Western mathematics in his 1202 book Liber Abaci, though the sequence was known in Indian mathematics earlier.

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