Sample Problem

Is the sequence below arithmetic? If so, what are the first and last terms? What is the common difference? (Don’t give answers if the sequence is not arithmetic.)

1, 2, 3, 4, 5 … 99, 100

First term:

Last term:

Common difference:


If the differences between all consecutive terms (terms that are right next to each other) of a sequence are equal, then the sequence is arithmetic. This constant difference is the common difference.

Here, the first term is 1, the last term is 100, and the common difference is 2 – 1 = 1.