Consecutive numbers are integers that follow one another in order without any gaps. For example, the numbers 1, 2, 3, 4 are consecutive because each number is one more than the previous one. They can be positive, negative, or zero, such as -2, -1, 0, 1. In mathematics, consecutive numbers are often used in various problems and equations. They can help in understanding patterns, sequences, and even in solving puzzles. For instance, the sum of two consecutive numbers can be expressed as n and n+1, where n is any integer.