Question

Tell whether the sequence is arithmetic if it is what is the common difference?

19, 12, 5, -2

no

yes; 1/7

yes;7

yes;-7

Answer 1

(d) yes; -7

Explanation:

The differences between terms are ...

12 -19 = -7

5 -12 = -7

-2 -5 = -7

These are all the same, so this difference is "common". A sequence in which terms have a common difference is an arithmetic sequence.

This sequence is arithmetic, with a common difference of -7.