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Fibonacci Sequence

Generate the first N Fibonacci numbers (big-int safe).

Free to use, no sign-up required. Fibonacci Sequence is one of 198 tools built into Xenition, alongside a chat that can use them for you.

Lists the first N numbers of the Fibonacci sequence, where each number is the sum of the two before it. Used for maths exercises, coding practice and checking values.

How to use Fibonacci Sequence

  1. Type How many terms you want.
  2. Read the sequence below as a comma-separated list, starting from 0.

How it works

The sequence starts 0, 1 and each later term adds the previous two. The numbers are held as BigInt, so large terms keep every digit instead of being rounded. The list is capped at 1,000 terms.

Example

Asking for 12 terms gives 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.

Questions about Fibonacci Sequence

Does the sequence start at 0 or 1?

This tool starts at 0, which is the modern convention (F0 = 0, F1 = 1). Some older texts start at 1, 1; to match those, ignore the first term.

How is Fibonacci related to the golden ratio?

The ratio of each term to the one before gets closer to about 1.618 as the terms grow. In the list above, 89 ÷ 55 is already 1.618 to three decimals.

Use it from chat

You do not have to open Fibonacci Sequence to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.

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