Question

Do the dollars earned form an arithmetic sequence? If so, determine the formula.

Hours Worked


1


2


3


4

Dollars Earned


48.50


57.00


65.50


74.00

Answer 1

An arithmetic sequence is a sequence where every term is dependent on the one before, and the difference between any two following terms are the same. Is this true in this case?

Answer 2

Basically, the numbers 48.50, 57.00, 65.50, and 74.00 form a sequence. You have to see if there is a common difference.
If the following is true, then it does form an arithmetic sequence.
\[57 - 48.5 = 65.5 - 57 = 74 - 65.5\]Is this statement true when simplified?