Fibonacci Calculator
Compute the nth Fibonacci number and the ratio to the previous term.
Input Data
N
Single term or list.
Results
The nth Fibonacci number.
55
Ratio to the previous term (→ φ).
1.61764706
Explanatory note about the result.
At a glance:F(0)=0, F(1)=1, F(n)=F(n−1)+F(n−2). The ratio F(n)/F(n−1) → φ=(1+√5)/2. Complements sequence and triangular.
Formula
F(n) = F(n−1) + F(n−2).
φ = (1+√5)/2 ≈ 1.618.
How to Use
- Enter n and a mode.
- The tool returns F(n) and the ratio.
Case Studies
F(10)
55; ratio 55/34 ≈ 1.6176.
FAQ
What is the golden ratio?
The limit of consecutive Fibonacci ratios, ≈1.618.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.