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Consecutive Number Problems Calculator

Online consecutive numbers solver. Enter the sum, count, and type (natural/odd/even) to recover the consecutive numbers, with steps—great for elementary brain teasers.

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First=sum/count−step×(count−1)/2
Total
How many
Type

📖 Tutorial | Consecutive Numbers

1. Definition
Given the sum of consecutive integers or odd/even numbers, find them.
2. Formula & Notation
Step1 for integers, 2 odd/even
AverageThe middle
3. Properties & Laws
  • First=sum/count−step(count−1)/2;
  • Symmetric;
  • Even count between two;
  • Difference equals step.
4. Steps
  1. Enter s, n, choose t;
  2. Click "Find Numbers";
  3. Or click "Load Example".
5. Worked Examples
Example: 5 integers sum 45.
Solution: 7,8,9,10,11.
6. Common Pitfalls
Odd/even step 2;
Count integer;
First integer.

❓ FAQ | Consecutive Numbers

How?
Sum/count for middle.
Sum45?
7..11.
Even count?
Between two.
Odd/even?
Step 2.
Verify?
Step and sum.
First?
Formula.