1. What are Consecutive Integers?

Consecutive integers are integers that follow each other in order without gaps. For any integer n, the next consecutive integer is n+1 and the previous is n-1.

2. How Does the Calculator Work?

The calculator uses simple arithmetic:

Where:

• \( n \) — Any integer value

Explanation: Integers are whole numbers (positive, negative, or zero) that follow each other in sequence.

3. Applications of Consecutive Integers

Details: Consecutive integers are used in number theory, algebra problems, sequence analysis, and various mathematical proofs.

4. Using the Calculator

Tips: Enter any integer (positive, negative, or zero) to find its immediate consecutive neighbors.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between consecutive integers and consecutive even/odd integers?
A: Consecutive integers differ by 1 (n, n+1, n+2), while consecutive even/odd integers differ by 2 (n, n+2, n+4).

Q2: Are negative numbers considered integers?
A: Yes, integers include all whole numbers (..., -2, -1, 0, 1, 2, ...).

Q3: What is the consecutive integer of zero?
A: The next consecutive integer is 1, and the previous is -1.

Q4: Can this calculator handle non-integer inputs?
A: No, it only works with whole numbers. Decimal values will be truncated to integers.

Q5: How are consecutive integers used in algebra?
A: They're often used in problems involving sums or products of sequential numbers, like "find three consecutive integers whose sum is 30."