What type of sequence shows a consistent increase or decrease in terms?

An arithmetic sequence is defined as a sequence of numbers in which the difference between consecutive terms is constant. This means that each term in the sequence increases or decreases by the same value, known as the common difference. For example, in the sequence 2, 5, 8, 11, the consistent increase of 3 between each term illustrates the characteristic of an arithmetic sequence.

In contrast, a geometric sequence relies on a consistent ratio between terms, while a random sequence does not follow any specific pattern or rule. A static sequence, on the other hand, remains unchanged and does not exhibit any increase or decrease. Therefore, the key characteristic of an arithmetic sequence is its predictable, uniform rate of change, which distinguishes it from the other types of sequences mentioned.