Fibonacci Sequence
Generate Fibonacci sequences, look up the N-th term, with big number precision support.
The ratio of adjacent Fibonacci terms approaches the golden ratio φ ≈ 1.6180339887...
Features
The Fibonacci tool provides sequence generation, term lookup, and golden ratio verification.
- Sequence Generation: Generate the first N Fibonacci terms, with big number precision via bignumber.js
- Term Lookup: Quickly query the value of the N-th term
- Golden Ratio: Verify that the ratio of adjacent terms approaches φ
Fibonacci sequence definition:
F(0) = 0, F(1) = 1, F(n) = F(n-1) + F(n-2)
Usage Instructions
Features
Fibonacci sequence tool providing sequence generation, N-th term lookup, and golden ratio verification, with big number precision via bignumber.js.
Steps
In the "Sequence Generation" card, enter N → Click "Generate" to view the sequence; in "Query N-th Term", enter N to query a single term; the bottom shows the deviation of adjacent-term ratios from the golden ratio automatically.
Notes
Sequence definition: F(0)=0, F(1)=1, F(n)=F(n-1)+F(n-2); use caution when N exceeds 5000; all calculations run locally in your browser.