What is the golden ratio connection?

As n increases, the ratio F(n)/F(n−1) approaches the golden ratio φ ≈ 1.6180339... This ratio appears in architecture, art, and natural growth patterns.

Where does Fibonacci appear in nature?

Sunflower spirals (34 and 55 arms), pine cone spirals, nautilus shell proportions, leaf arrangements (phyllotaxis), and rabbit population models — all exhibit Fibonacci patterns.

F(70) = 190,392,490,709,135 — near the limit of JavaScript's precise integer arithmetic. Beyond 70, floating-point errors accumulate.

Fibonacci Calculator — Nth Fibonacci Number

The Fibonacci Calculator finds the Nth number in the Fibonacci sequence — the series where each number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... This sequence appears throughout nature (flower petals, spiral shells, galaxy arms) and is fundamental in mathematics, computer science, and financial trading theory.

Position (n)

How to Use This Calculator

1
Enter the position n (1 gives the 1st Fibonacci number = 1).
2
Click Calculate. The sequence is: F(1)=1, F(2)=1, F(3)=2, F(4)=3, F(5)=5...

Frequently Asked Questions

The Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34... Each term is the sum of the two preceding terms. Formally: F(n) = F(n−1) + F(n−2), with F(1) = F(2) = 1.

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