Consecutive Integers Calculator
The Consecutive Integers Calculator finds a run of consecutive integers that add up to a target sum. Enter the target sum and how many consecutive integers to use.
Formula
First = (Sum − k(k−1)/2) ÷ k, then add 1 each step for k integers
- A valid run exists only when the first term comes out as a whole number.
- The k integers are first, first+1, …, first+k−1.
5 integers summing to 100
Inputs
- Target Sum: 100
- How Many Integers: 5
18, 19, 20, 21, 22 sum to 100.
Frequently asked questions
Can any number be a sum of consecutive integers?
Not for every count. A solution exists only when the starting integer works out to a whole number.