The Fibonacci Sequence Calculator helps you generate the Fibonacci numbers quickly and accurately. The Fibonacci sequence is a famous mathematical series where each number is the sum of the two numbers before it. It starts with 0 and 1, and continues infinitely.

Fibonacci Formula

F(n) = F(n–1) + F(n–2)

Where:

• F(n) = The nth Fibonacci number
• F(n–1) = The previous Fibonacci number
• F(n–2) = The number before the previous one
• Initial values: F(0) = 0, F(1) = 1

How It Works

Enter the position n of the Fibonacci number you want to find. The calculator instantly computes the result and displays the correct Fibonacci value.

Examples

Example 1:

Find F(5)
Sequence: 0, 1, 1, 2, 3, 5
Result: F(5) = 5

Example 2:

Find F(8)
Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21
Result: F(8) = 21

Example 3:

Find F(12)
Sequence: 144 is the 12th Fibonacci number
Result: F(12) = 144

This calculator is useful for students, programmers, mathematicians, and anyone exploring number patterns or algorithms.