Question

•(5,25) •(4,16) •(3,9) •(2,4) •(1,1) The sequence is arithmetic because the terms have a common difference.

Answer 1

Answer:

3. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:

1, 4, 9, 16, 25

The 3 answers are:

1. The sequence is arithmetic because the terms do not have a common difference.
2. The sequence is not arithmetic because the terms have a common difference.
3. The sequence is not arithmetic because the terms do not have a common difference.

First, look at the difference between each of the terms.

$4-1=3\\9-4=5\\16-9=7$

Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.

Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.