What this calculator does
Consecutive integers from a sum works out finds n evenly-spaced integers (consecutive, even or odd) that add to a target sum. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
Formulafirst = S/n − (n−1)d/2, where d is the spacing (1 for consecutive, 2 for even/odd)
The inputs explained
| Field | What to enter |
|---|---|
| Target sum | A number. Starts at 99. |
| How many numbers | A number. Starts at 3. |
| Spacing | Choose from Consecutive integers, Consecutive even or odd numbers. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with target sum
Every other input is held at the calculator’s starting values while target sum varies. Select any row to load that scenario into the calculator.
How the answer changes with target sum