What is characteristic of an arithmetic sequence?

In an arithmetic sequence, each term is generated by adding a fixed value, known as the common difference, to the previous term. This means that the difference between consecutive terms remains constant throughout the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, because each term increases by 3 from the previous one. This characteristic allows for predictable patterns in the sequence, making it essential for various mathematical applications.

The other options do not accurately define an arithmetic sequence. A constant product refers to a geometric sequence rather than an arithmetic one. Varying differences suggest that the sequence does not follow the rule of a common difference, which is the defining feature of arithmetic sequences. Lastly, stating that each term is the same describes a constant sequence but does not convey the nature of an arithmetic sequence where there is a consistent, additive change. Therefore, the option highlighting the constant difference is the most accurate representation of an arithmetic sequence.