Tool Categories

Sequence Configuration
Customize Fibonacci parameters
1 - 2000
Total Terms
10
Sum
88
Highest
34
Average
8.8
Generated Sequence
Fibonacci output
0, 1, 1, 2, 3, 5, 8, 13, 21, 34
Golden Ratio (φ) Convergence
TermFormulaRatio
T9F(9)/F(8) = 34/211.61904762
T8F(8)/F(7) = 21/131.61538462
T7F(7)/F(6) = 13/81.62500000
T6F(6)/F(5) = 8/51.60000000
T5F(5)/F(4) = 5/31.66666667

The ratio between consecutive Fibonacci numbers converges to the Golden Ratio φ ≈ 1.6180339887. Try starting with F₀=2, F₁=1 for Lucas Numbers!