main menu MyCT
Fibonacci sequence

     Mathematics index
Other math calcs index
Fibonacci sequence diagram
The Fibonacci sequence arises from the addition of two consecutive numbers in the sequence to give the next number in the sequence. However, this calc uses a simple algorithm rather than an iterative approach to quickly find any Fibonacci number from its sequence position.
Sequence position:

Fibonacci number:
Add login to add

Enter the sequence position of the Fibonacci number you are interested in (blue box), and the value of the relevant Fibonacci number will be given in the orange box.
This sequence was first documented in in India during the first century BC, and has an important relationship with the golden ratio. Every Fibonacci number above 3 is the hypotenuse in a pythagorean triple, and they have several applications in mathematics. They also appear in nature, for example in pine cones.