Answer
Yes it is an arithmetic sequence, and the common difference is -0.5
Work Step by Step
The difference between consecutive terms is constant in an arithmetic sequence.
The sequence: 15, 14.5, 14, 13.5, 13, ...
Finding the pattern:
Difference between 1st and 2nd term:
2nd term-1st term=Difference
14.5-15= -0.5
Difference between 2nd and 3rd term:
3rd term-2nd term=Difference
14-14.5= -0.5
Difference between 3rd and 4th term:
4th term-3rd term=Difference
13.5-14= -0.5
Difference between 4th and 5th term:
5th term-4th term=Difference
13-13.5= -0.5
The common difference is -0.5 and it is constant thus this is an arithmetic sequence.