Fibonacci Calculator

Find the nth Fibonacci number.

nth Fibonacci number 55

Sum of first n 88

Formula: Fₙ = Fₙ₋₁ + Fₙ₋₂

Step-by-step with your numbers:

1. Values used:

2. Term (n) = 10

4. nth Fibonacci number = 55

5. Sum of first n = 88

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Each Fibonacci number is the sum of the previous two: 0, 1, 1, 2, 3, 5, 8, …

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.