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Fibonacci Generator

Generate the Fibonacci sequence and explore the golden ratio

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Fibonacci Sequence Generator

Results
Nth Fibonacci Number
55
Golden Ratio (at N)
1.6180339887...
Sum of Sequence
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Last Term
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Fibonacci Sequence

Check if Number is Fibonacci

What is the Fibonacci Sequence?

The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

The Golden Ratio

As the sequence progresses, the ratio of consecutive Fibonacci numbers approaches the golden ratio (phi) = (1 + sqrt(5)) / 2 = 1.6180339887... This ratio appears frequently in nature, art, and architecture.