A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Fibonacci Calculator

The Fibonacci grouping is a number arrangement characterized by a primary direct repeat connection. The Fibonacci Sequence is the arrangement of numbers. The next number is calculated by adding the two numbers before it.

What is Fibonacci Calculator?

'Cuemath's Fibonacci Calculator' is an online tool that helps to calculate the Fibonacci sequence. Cuemath's online Fibonacci Calculator helps you to calculate the Fibonacci sequence in a few seconds.

How to Use Fibonacci Calculator?

Please follow the steps below on how to use the calculator:

  • Step 1: Enter the number of terms to be displaced in the given input box.
  • Step 2: Enter the limits in the given input box.
  • Step 3: Click on the "Find" button to find the Fibonacci Sequence.
  • Step 4: Click on the "Reset" button to clear the fields and find the Fibonacci Sequence for different limit values.

 

How to Find Fibonacci Series?

Fibonacci numbers are defined as a sequence of whole numbers arranged as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,...This sequence is called the Fibonacci sequence. Each number in the Fibonacci sequence is given as Fn. It is an infinite sequence.

The rules for the Fibonacci numbers are given as :

  • The first number in the Fibonacci sequence is given as F0 = 0 
  • The second number in the Fibonacci sequence is given as F1 = 1
  • Fibonacci numbers follow a rule according to which, Fn = F(n-1) + F(n-2) , where n > 1
  • The third number in the Fibonacci sequence is given, F2 = F1 + F0 = 1 + 0 = 1. The Fibonacci sequence goes like 0, 1, 1, and so on.

Want to find complex math solutions within seconds?
Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps.

Book a Free Trial Class

Solved Example:

Find the Fibonacci sequence for F0 = 2, and F1 = 6 for 5 terms?

Solution:

Given: N = 5 terms,  F0 = 2, F1 = 6

Fibonacci numbers follow a rule according to which, Fn = F(n-1) + F(n-2) where n > 1

F2 = F(2-1) + F(2-2) = F1 + F0 = 6 + 2 = 8

F3 = F(3-1) + F(3-2) = F2 + F1 = 8 + 6 = 14

F4 = F(4-1) + F(4-2) = F3 + F2 = 14 + 8 = 22

F5 = F(5-1) + F(5-2) = F4 + F3 = 22 + 14 = 36

Therefore, the Fibonacci series         

F0 F1   F2  F3  F4  F5 
 2  6    8  14  22  36

Therefore, the Fibonacci series are 2,6,8,14,22,36

Similarly, you can try the calculator to find the Fibonacci sequence for

  • Number of terms = 10, F0 = 3 and F1 = 8
  • Number of terms = 15, F0 = 5 and F1 = 11
Related Articles:
 
Factorial Calculator
 
Sequence Calculator
Math worksheets and
visual curriculum