Fibonacci-Generator

Fibonacci-Folge-Zahlen generieren

Browser-VerarbeitungIhre Daten verlassen niemals Ihren Browser

Number of Terms

Starting Index

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 Fibonacci-Generator

Fibonacci-Folge-Zahlen generieren

Use this free online mathematik-tools 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.

Processing

This tool runs in your browser whenever possible, which keeps your inputs private and reduces unnecessary round-trips to the server.

Fibonacci-Generator

About Fibonacci-Generator

Processing

Ähnliche Tools