Math

Fibonacci Calculator

Find the nth Fibonacci number.

Calculated Output

nth Fibonacci number 55

Sum of first n 88

Formula: Fₙ = Fₙ₋₁ + Fₙ₋₂

Step-by-Step Breakdown

1. Values used:

2. Term (n) = 10

4. nth Fibonacci number = 55

5. Sum of first n = 88

Did this calculator solve your problem today?

The math behind it

Fₙ = Fₙ₋₁ + Fₙ₋₂, starting F₀ = 0, F₁ = 1.

F₁₀ = 55.

Golden ratio link?

The ratio of consecutive Fibonacci numbers approaches φ ≈ 1.618.