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Fibonacci Generator
Generate the Fibonacci sequence up to N terms with golden ratio display.
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Fibonacci Sequence
Sum
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Golden Ratio (F(n)/F(n-1))
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N-th Term
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How to Use
- Set terms — Enter how many Fibonacci numbers to generate (up to 1000).
- Choose start — Select whether to start from F(0)=0 or F(1)=1.
- View results — See the sequence, sum, N-th term, and golden ratio approximation.
Frequently Asked Questions
What is the Fibonacci sequence?
The Fibonacci sequence is a series where each number is the sum of the two preceding ones. It starts with 0, 1, 1, 2, 3, 5, 8, 13, and continues infinitely.
What is the golden ratio?
As the Fibonacci sequence progresses, the ratio of consecutive terms approaches the golden ratio (φ ≈ 1.61803). This ratio appears in nature, art, and architecture.
What is the largest term I can generate?
This tool generates up to 1000 terms. F(1000) has 209 digits. JavaScript can handle this using BigInt internally.
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