Generateur de Fibonacci

Generer les nombres de la suite de Fibonacci

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Fibonacci Sequence

F0 = 0 F1 = 1 F2 = 1 F3 = 2 F4 = 3 F5 = 5 F6 = 8 F7 = 13 F8 = 21 F9 = 34 F10 = 55 F11 = 89 F12 = 144 F13 = 233 F14 = 377

Find Nth Fibonacci Number

=55

Golden Ratio (φ)

φ = (1 + √5) / 21.61803398871/φ = φ - 10.6180339888φ² = φ + 12.6180339886

Ratio Convergence to φ

F2/F1:1.0000000000
F3/F2:2.0000000000
F4/F3:1.5000000000
F5/F4:1.6666666667
F6/F5:1.6000000000
F7/F6:1.6250000000
F8/F7:1.6153846154
F9/F8:1.6190476190
F10/F9:1.6176470588
F11/F10:1.6181818182
F12/F11:1.6179775281
F13/F12:1.6180555556
F14/F13:1.6180257511
F15/F14:1.6180371353

Properties of F10

Digit count:2Is prime:NoBinet formula:(φ^n - ψ^n) / √5

Check if Number is Fibonacci

Fibonacci Facts

• Every 3rd Fibonacci number is divisible by 2

• Every 4th Fibonacci number is divisible by 3

• Every 5th Fibonacci number is divisible by 5

• The sum of first n Fibonacci numbers = F(n+2) - 1

• F(n-1) × F(n+1) - F(n)² = (-1)^n (Cassini's identity)

About Generateur de Fibonacci

Generer les nombres de la suite de Fibonacci

Use this free online outils mathematiques tool to work faster without installing extra software. The interface is built for quick input, clear output, and straightforward results on desktop and mobile devices.

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