Question

Tell whether the sequence is arithmetic. If it is, what is the common difference?

19, 12, 5, -2
No
Yes;
Yes; 7
Yes: -7

Answer 1

Yes: -7

The given sequence is arithmetic because there is a common difference between consecutive terms. To find the common difference, you can subtract one term from the previous term:

12−19=−7

5−12=-7

−2−5=−7

The common difference is consistently -7, so the sequence is arithmetic with a common difference of -7.