What is the Fibonacci sequence?

Each nummer is the sum of the two before it, starting 1, 1, 2, 3, 5, 8, 13… It appears throughout nature, art and computer science.

What is the golden ratio connection?

The ratio of consecutive Fibonacci nummers approaches the golden ratio φ = (1+√5)/2 ≈ 1.618 as n grows.

Fibonacci Calculator

Gratis Fibonacci calculator. Enter a position n to get the nth Fibonacci nummer (F₁ = F₂ = 1), the sum of the first n terms, and the ratio of consecutive terms that converges to the golden ratio φ ≈ 1.618.

Find the nth Fibonacci nummer, the sum of terms and the golden ratio.

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

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