Enter your arbitrary First Term (F0), Second Term (F1) and then the term (n) for which you want to find
This advanced Fibonacci number calculator can accept arbitrary first and second term and provides you the Fibonacci number of the given nth term. You can find Fibonacci number for up to its 10,000th term. So, you do not need to do manual additions or other calculations to find the Fibonacci numbers up to F10,000.
Follow these steps to generate a Fibonacci Number:
If you want to find the Fibonacci Number of 100th term (F100) with an arbitrary starter of F0 = 10 and F1 = 20, then enter 10 in the First Term (F0) field, 10 in the Second Term (F1) field and enter 100 in the n field. Finally press the Find Fibonacci Number button.
Fibonacci sequence is a series of numbers in mathematics which follows a specific pattern. Fibonacci numbers are denoted by the term Fn. Every number in the Fibonacci sequence is the sum of the two preceding Fibonacci numbers. Now, let us see the formula used to generate the Fibonacci Sequence.
The formula used to generate Fibonacci Series Fn is:
Fn = Fn-2 + Fn-1
There is a simpler way to find the nth term alone of the Fibonacci sequence using the golden ratio.
The formula used to find the nth term Fn with arbitrary starters is:
Fn = xΦn + yΨn
x = (F1 - F0Ψ) ÷ √5
y = (ΦF0 - F1) ÷ √5
Calculation Time: 0 Sec
Page Last Modified On: Apr 22, 2021