Loading…
Loading…
FibLab
F(n) = F(n−1) + F(n−2).
Starting from 0 and 1, every Fibonacci number is generated by adding the previous two: 0, 1, 1, 2, 3, 5, 8, 13, 21… — one of the simplest rules in math that produces surprisingly rich patterns.
Sunflower seed spirals, pinecone scales, and nautilus shells all approximate Fibonacci-based growth patterns, and the ratio between consecutive terms converges toward the golden ratio (≈1.618) as n grows.
F(n)
55
F(n) = F(n−1) + F(n−2)
What you entered
Build the sequence from F(0)=0, F(1)=1
F(k) = F(k−1) + F(k−2)= 0, 1, 1, 2, 3, 5, 8, 13, …F(10)
F(10)= 55F(11)
F(11)= 89Ratio approaches the golden ratio φ
F(11) ÷ F(10)= 1.6182Result
F(n): 55
The 10th Fibonacci number is 55. As n grows, the ratio of consecutive terms converges toward the golden ratio, ≈1.618.