What is an arithmetic sequence?

An arithmetic sequence is defined as a sequence of numbers in which the difference between any two consecutive terms is always the same. This constant value, often referred to as the "common difference," can be positive, negative, or zero, resulting in an increasing, decreasing, or constant sequence, respectively. For example, in the sequence 2, 4, 6, 8, each term increases by 2, which is the common difference.

This characteristic is fundamental to identifying arithmetic sequences, as it distinguishes them from other types of sequences. It allows for the prediction of future terms in the sequence based on the established pattern.

Other options do not align with the definition of an arithmetic sequence. For instance, sequences that increase exponentially involve terms that are multiplied by a constant factor rather than adding a constant value. Sequences comprised solely of prime numbers do not have a consistent interval between terms, and sequences that alternate between two values lack a common difference applicable throughout the entire sequence.