Fibonacci Sequence Generator

Discover the fascinating world of Fibonacci numbers! Enter the number of terms to generate the sequence.

Enter Number of Terms (n):

terms

Generating Fibonacci Sequence...

About 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.

Mathematically, it is defined by the recurrence relation: $$F_n = F_{n-1} + F_{n-2}$$ where $$F_0 = 0$$ and $$F_1 = 1$$.

Examples: The first few Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

Applications: Fibonacci numbers appear surprisingly often in mathematics, nature, and computer science. They are found in the arrangement of leaves on a stem, the spirals of shells, and branching patterns in trees.

Learn More: For further reading, you can explore resources like Wikipedia and MathWorld.