What is the Fibonacci sequence?

Each liczba 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 liczbas approaches the golden ratio φ = (1+√5)/2 ≈ 1.618 as n grows.

Fibonacci Kalkulator

Darmowy Fibonacci kalkulator. Enter a position n to get the nth Fibonacci liczba (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 liczba, 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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