How to Calculate Fibonacci Generator
What is Fibonacci Generator?
The Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21... Each term is the sum of the two preceding. Consecutive Fibonacci ratios converge to φ (golden ratio ≈ 1.61803).
Step-by-Step Guide
- 1F(0)=0, F(1)=1, F(n)=F(n−1)+F(n−2)
- 2Binet: F(n) = (φⁿ − ψⁿ)/√5
- 3φ = (1+√5)/2 ≈ 1.61803
Worked Examples
Input
F(10)/F(9) = 34/21
Result
1.619 ≈ φ
Ratio converges to golden ratio
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