Fibonacci sequence calculator

Calculate Fibonacci sequences up to a specified number of terms to explore this famous mathematical pattern found in nature, art, and technology.

Input Parameters

Enter the number of Fibonacci terms to generate (1-100)

Calculation Results

Fibonacci Sequence

Where:
F₀ = 0, F₁ = 1
Fn = Fn-1 + Fn-2 for n > 1

Fibonacci sequence calculator Calculator Usage Guide

Learn how to use the Fibonacci sequence calculator and understand the mathematical pattern behind it

How to use the calculator

  1. Enter the number of terms you want to generate in the Fibonacci sequence (between 1 and 100)
  2. Click the "Calculate" button to generate the sequence
  3. The calculator will display the Fibonacci sequence up to the specified number of terms
  4. Click "Reset" to clear the results and start over

The Fibonacci Sequence

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

The mathematical formula for the nth Fibonacci number is:

Fn = Fn-1 + Fn-2

Where is the Fibonacci sequence used?

The Fibonacci sequence appears in many places in nature:

  • The arrangement of leaves on a stem
  • The spiral patterns of shells and galaxies
  • The branching of trees
  • The proportions in human anatomy

This calculator can help you explore this fascinating mathematical pattern and see how it unfolds with different numbers of terms.