Fibonacci Sequence Calculator
Result
Fibonacci Sequence Calculator — free online calculator.
Formula
- Fibonacci Sequence Calculator calculates its result from F N 1, F N 2, Starta, Startb. It uses the formula F(n) = F(n−1) + F(n−2); F(1) = startA, F(2) = startB; ratio F(n)/F(n−1) → φ = (1+√5)/2. Change any input to recalculate the result instantly.
- The main inputs are Number of Terms, First Term, Second Term. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Fibonacci Sequence
- Number of Terms: 10
- First Term: 1 F₁
- Second Term: 1 F₂
Using F N 1 = 10, F N 2 = 11, Starta = 4, Startb = 5, the calculated result is 1.6180339887.
Sample result: Calculating…
Frequently asked questions
What does the Fibonacci Sequence calculate?
Fibonacci Sequence Calculator — free online calculator.
Which values should I enter?
Enter Number of Terms, First Term, Second Term using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: F(n)=F(n−1)+F(n−2); display sequence, nth term, sum, ratio of final two terms and golden ratio..
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.