F(n − 1)
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Fibonacci Calculator
Find the nth Fibonacci number exactly — even for large n — plus the sequence, the digit count, and the ratio that approaches the golden ratio.
F(n) = F(n−1) + F(n−2), F(0)=0, F(1)=1
Results
F(n)
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Number of digits
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Ratio F(n)/F(n−1)
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Golden ratio φ
1.6180339887…
The sequence so far
Each term is the sum of the previous two. The ratio of consecutive terms approaches the golden ratio.