Understanding Consecutive Numbers in Mathematics | Sequences, Sets, and Patterns

Consecutive

In mathematics, the term “consecutive” refers to a sequence or set of numbers that follow each other in order, without any gaps or skips

In mathematics, the term “consecutive” refers to a sequence or set of numbers that follow each other in order, without any gaps or skips. To be consecutive, the numbers must be in sequential order, with one number immediately following the previous one.

For example, the set of consecutive integers can be represented as {…, -3, -2, -1, 0, 1, 2, 3, …}. Here, each number follows the previous one by an increment of 1.

Similarly, consecutive even numbers would be {…, -4, -2, 0, 2, 4, …}, where each number is obtained by adding 2 to the previous number.

Consecutive odd numbers would be represented as {…, -3, -1, 1, 3, 5, …}, where each number is obtained by adding 2 to the previous number.

In general, for any sequence of consecutive numbers, you can find the next number by adding a fixed value (or increment) to the previous number.

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