Consecutive
In mathematics, consecutive numbers refer to a sequence of numbers that follow each other without any gaps or interruptions
In mathematics, consecutive numbers refer to a sequence of numbers that follow each other without any gaps or interruptions. More specifically, consecutive numbers are arranged in increasing or decreasing order, where the difference between any two adjacent numbers is constant.
For instance, the set of positive consecutive numbers starting from 1 would be: 1, 2, 3, 4, 5, and so on. In this example, the difference between any two consecutive numbers is 1.
Consecutive numbers can also be negative or include both positive and negative numbers. For example, the set of negative consecutive numbers starting from -3 would be: -3, -2, -1, 0. In this case, the difference between any two consecutive numbers is also 1.
Consecutive numbers are used in various areas of mathematics, such as algebra, number theory, and geometry. They are particularly useful when studying arithmetic progressions, series, and equations involving patterns or sequences of numbers.
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