What type of sequence is formed by adding or subtracting the same number to the previous term?

The sequence formed by adding or subtracting the same number to the previous term is known as an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms remains constant, which is referred to as the common difference. For example, if you start with the number 2 and consistently add 3, the resulting sequence would be 2, 5, 8, 11, and so on, demonstrating the consistent addition of 3.

In contrast, a geometric sequence involves multiplying or dividing by the same number to produce the next term, which leads to exponential growth or decay rather than a steady incremental change. Variable and numerical expressions are not types of sequences but rather represent forms of mathematical expressions with variables and numbers, respectively. Therefore, the classification of a sequence that operates through addition or subtraction of a constant aligns perfectly with the definition of an arithmetic sequence.