Algebra-1

To determine which sequence is not an arithmetic sequence, check if the differences between consecutive terms are consistent.

For 2,4,6,8,10:

Difference between 4 and 2: 4 − 2 = 2

Difference between 6 and 4: 6 − 4 = 2

Difference between 8 and 6: 8 − 6 = 2

Difference between 10 and 8: 10 − 8 = 2

The differences are consistent (2), so this is an arithmetic sequence.

For 1,4,7,10,13:

Difference between 4 and 1: 4 − 1 = 3

Difference between 7 and 4: 7 − 4 = 3

Difference between 10 and 7: 10 − 7 = 3

Difference between 13 and 10: 13 − 10 = 3

The differences are consiste...