is the sequence arithmetic: 37, 31, 25, 19, ...

Explanation:

Step1: Calculate the difference between consecutive terms

For the sequence (37,31,25,19,\cdots), find (31 - 37=-6), (25 - 31=-6), (19 - 25=-6)

Step2: Check the definition of an arithmetic sequence

An arithmetic sequence has a common difference (d) between consecutive terms. Here (d=-6) (constant)

Answer:

Yes