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Number Sequence

Arithmetic or geometric progressions.

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

Generates arithmetic sequences (add the same step each time) or geometric sequences (multiply by the same ratio each time). Used for maths exercises, spacing values and quick projections.

How to use Number Sequence

  1. Choose Arithmetic or Geometric.
  2. Enter the Start value.
  3. Enter the Step (added each term) or Ratio (multiplied each term).
  4. Set How many terms, up to 200, and read the list below.

How it works

Term i (counting from 0) is start + step × i for arithmetic, or start × ratio^i for geometric. Each term is rounded to 10 significant digits for display, which hides floating-point noise such as 0.30000000000000004.

Example

Arithmetic from 3 with step 4 for 6 terms gives 3, 7, 11, 15, 19, 23. Geometric from 3 with ratio 2 gives 3, 6, 12, 24, 48, 96.

Questions about Number Sequence

How do I find the 100th term without listing them all?

Use the formula directly. Arithmetic: start + step × 99. Geometric: start × ratio^99. The 99 is because the first term uses i = 0.

Can the sequence go down?

Yes. Use a negative step for a falling arithmetic sequence, or a ratio between 0 and 1 for a shrinking geometric one: start 1 with ratio 0.1 gives 1, 0.1, 0.01, 0.001.

Use it from chat

You do not have to open Number 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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