Answer
Yes it is an arithmetic sequence, and the common difference is -11.
Work Step by Step
The difference between consecutive terms is constant in an arithmetic sequence.
The sequence: 19, 8, -3, -14, ...
Finding the pattern:
Difference between 1st and 2nd term:
2nd term-1st term=Difference
8-19= -11
Difference between 2nd and 3rd term:
3rd term-2nd term=Difference
-3-8= -11
Difference between 3rd and 4th term:
4th term-3rd term=Difference
-14-(-3)= -11
The common difference is -11 and it is constant thus this is an arithmetic sequence.
