Discover the secrets of consecutive numbers! Our Maths Magic calculator helps you quickly find a series of consecutive integers that add up to a specific sum. Perfect for students, teachers, and anyone who loves number puzzles. Simplify complex math challenges and enhance your problem-solving skills with ease. Try it now!
Formula:
To find the first number (x) in a sequence of N consecutive integers that sum to a Target Sum (S), use the formula:
- First Number (x) = (S - (N × (N - 1)) ÷ 2) ÷ N
Once x is found, the sequence is: x, x+1, x+2, ..., x+(N-1).
This formula relies on the sum of an arithmetic series and can determine if an integer sequence exists for the given inputs.