Question

Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.

4, 7, 9, 11, 12,...

Answer 1

The sequence is not an arithmetic sequence.

Explanation:

4 is getting added by 3 to get 7

7 is getting added by 2 to get 9

9 is getting added by 2 to get 11

11 is getting added by 1 to get 12

As you can see, the sequence is not consistent. Therefore, it is not an arithmetic sequence.

Answer 2

Not arithmetic

Explanation:

Arithmetic sequences go up by the same number or down by the same number.

From 4 to 7 thats up by 3

From 7 to 9 that's up by 2

Conclusion: not arithmetic