Determine whether the sequence is arithmetic.
-2, 4, 6, 10, 12, ...
A)Arithmetic
B)Not arithmetic

Question

Quizplus · Accepted Answer

The sequence starts as an arithmetic sequence with a common difference of 2 (2+2=4, 4+2=6), but then there is a jump from 6 to 10, suggesting that the common difference is not constant. Therefore, the sequence is not arithmetic. The difference between the first three terms is constant and equal to 2. However, the difference between the third and fourth terms is 4, which is not equal to the constant difference of 2. Therefore, the sequence is not arithmetic.

Determine Whether the Sequence Is Arithmetic