Fibonacci Calculator
Calculate the nth Fibonacci number, its predecessor, and the golden ratio approximation F(n)/F(n-1).
Inputs
Results
F(n)
55
F(n)/F(n-1) (→ φ)
1.61765
How to Use This Calculator
- Enter Position (n).
- Review F(n) and F(n)/F(n-1) (→ φ).
- Use F(n-1) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Position (n)
| Position (n) | F(n) | F(n)/F(n-1) (→ φ) |
|---|---|---|
| 7.8 | 13 | 1.625 |
| 27 | 196,418 | 1.61803 |
| 51 | 20,365,011,074 | 1.61803 |
| 70 | 190,392,490,709,135 | 1.61803 |
What each input means
- Position (n)
- Position in the Fibonacci sequence (0-78, limited to safe integer range)
How this is calculated
Worked example, using the default values
- Identify Input ParametersPosition (n) = 10 = 1 input(s) provided
- Calculate FF55 = 55
- Calculate F(n)/F(n-1)F(n)/F(n-1)1.61765 = 1.61765
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators.
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