Consecutive Integers Calculator
Result
About Consecutive Integers
Definition
Consecutive integers are integers that follow each other in order, with a difference of 1 between each pair of numbers.
Properties
- For n consecutive integers, the sum is: n × (first + last) / 2
- For n consecutive integers, the average is: (first + last) / 2
- For n consecutive integers, the range is: last - first + 1
- For n consecutive integers, the product can be calculated using factorial
Examples
- Sum: 1 + 2 + 3 + 4 + 5 = 15
- Product: 1 × 2 × 3 × 4 × 5 = 120
- Range: 1 to 5 (5 numbers)
- Count: 5 consecutive integers
Common Problem Types
Sum Problems
Find consecutive integers that sum to a given value.
Example: Find 3 consecutive integers that sum to 15
Solution: 4, 5, 6 (4 + 5 + 6 = 15)
Product Problems
Find consecutive integers that multiply to a given value.
Example: Find 3 consecutive integers that multiply to 60
Solution: 3, 4, 5 (3 × 4 × 5 = 60)
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