Math & Algebra Tool

Fibonacci Calculator

Generate the Fibonacci sequence and find the Nth number in the series.

→
F_10
55

Full Sequence to F_10

n=00
n=11
n=21
n=32
n=43
n=55
n=68
n=713
n=821
n=934
n=1055

Σ The Formula

F_n = F_{n-1} + F_{n-2}

Real World Examples

Standard Index
N=10 → F_10 is 55.
Golden Ratio
Observe how the ratio of consecutive terms approaches 1.618.

# About This Calculator

The Fibonacci Sequence is a set of numbers that starts with 0 and 1, where each subsequent number is the sum of the two preceding ones.

It appears remarkably often in nature (phyllotaxis, shell spirals) and is closely linked to the Golden Ratio (φ). In finance, Fibonacci retracements are used by traders to identify potential support and resistance levels.

How To Use

  1. Enter the **Position (n)** you want to find.
  2. The tool calculates the Nth Fibonacci number using BigInt precision.
  3. View the full sequence leading up to your chosen number.
  4. Use the results for mathematical patterns or art/design projects.

Frequently Asked Questions

How fast do these numbers grow?+

Fibonacci numbers grow exponentially. By the 100th term, the number exceeds 350 quintillion!

What is Fibonacci's real name?+

His real name was Leonardo of Pisa. 'Fibonacci' was a nickname meaning 'son of Bonacci'.

Is Fibonacci Calculator free to use?+

Yes, Fibonacci Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Fibonacci Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Fibonacci Calculator are accurate for academic and professional use.

Can I use Fibonacci Calculator on my phone?+

Yes! Fibonacci Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

The Fibonacci Sequence is a set of numbers that starts with 0 and 1, where each subsequent number is the sum of the two preceding ones.

It appears remarkably often in nature (phyllotaxis, shell spirals) and is closely linked to the Golden Ratio (φ). In finance, Fibonacci retracements are used by traders to identify potential support and resistance levels.

Related Tools

Fraction Calculator

Fraction Simplifier

Fraction to Decimal

Decimal to Fraction