Determine whether the sequence is arithmetic.
-5, -15, 45, -135, 405, ...
A)Arithmetic
B)Not arithmetic

Question

Quizplus · Accepted Answer

The common difference between the terms is not constant. The pattern appears to be multiplying each term by -3 to get the next term. Therefore, the sequence is not arithmetic. The sequence is not arithmetic because the common difference between terms is not constant. The difference between the first and second term is -20, then the difference between the second and third term is 60, and so on. Therefore, there is no fixed constant difference between terms, making it a non-arithmetic sequence.

Determine Whether the Sequence Is Arithmetic