Algebra-1

To determine if -2x − 6, 3x − 2, 8x + 2, 13x + 6, 18x + 10 is an arithmetic sequence, follow these steps:

Calculate the differences between consecutive terms:
3x − 2 − (-2x − 6) = 3x − 2 + 2x + 6) = 5x + 4
8x + 2 − (3x − 2) = 8x + 2 − 3x + 2 = 5x + 4
13x + 6 − (8x + 2) = 13x + 6 − 8x − 2 = 5x + 4