Question

true or false: an arithmetic sequence must have a common multiple.
true
false

Explanation:

An arithmetic sequence is defined by a common difference (the difference between consecutive terms is constant), not a common multiple. For example, the arithmetic sequence \(1, 3, 5, 7, \dots\) has a common difference of \(2\), and there's no requirement for a common multiple. So the statement is false.

Answer:

False