Fibonacci Number Calculator
Enter any non-negative integer n to see the Fibonacci number at that position using Binet's closed-form formula.
For educational purposes only.
Examples
- n = 7 ⇒ 13
- n = 10 ⇒ 55
- n = 15 ⇒ 610
FAQ
Can I use negative numbers?
This calculator works for non-negative integers only.
Why is the result rounded?
Binet's formula yields decimals, so rounding gives the exact integer.
What is the first Fibonacci number?
By this convention, F(0) = 0 and F(1) = 1.
Is there a faster way to compute?
This closed-form expression avoids iterative calculation.
Additional Information
- Sequence starts with F(0) = 0 and F(1) = 1.
- Binet's formula uses the golden ratio to compute terms directly.
- Results may lose precision for very large n due to floating-point limits.