Question

Tell whether the sequence is arithmetic. If it is what is the common

difference? Explain. (2 points)
{1, 5, 9, 13, ...).

Answer 1

Sequence is arithmetic

Common difference = 4

Explanation:

All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:

5 - 1 = 9 - 5 = 13 - 9

4 = 4 = 4

The common difference = 4, and because there is a common difference, this sequence is arithmetic.