Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Practice and Problem-Solving Exercises - Page 277: 18

Yes it is an arithmetic sequence, and the common difference is 4.

The difference between consecutive terms is constant in an arithmetic sequence. The sequence: -7, -3, 1, 5, ... Finding the pattern: Difference between 1st and 2nd term: 2nd term-1st term=Difference -3-(-7)=4 Difference between 2nd and 3rd term: 3rd term-2nd term=Difference 1-(-3)=4 Difference between 3rd and 4th term: 4th term-3rd term=Difference 5-1=4 The common difference is 4 and it is constant thus this is an arithmetic sequence.