Chapter 6 - Exponential Functions and Sequences - 6.5 - Solving Exponential Equations - Exercises - Page 330: 62

The sequence is not the arithmetic sequence.

The given sequence is $-5,-8,-12,-17,...$ Calculate difference between consecutive terms. $-8-(-5)=-8+5=-3$ $-12-(-8)=-12+8=-4$ $-17-(-12)=-17+12=-5$ Consecutive terms have different difference. So, the sequence is not the arithmetic sequence.