1. use the sequence to answer the questions. 2.5, 6, 9.5, 13, 16.5, 20,… (a) what is the common difference? (b) what is the recursive rule for the sequence?

Based on the sequence, the answer for question (a) is 3.5 which is the value of the common difference. The recursive rule for the sequence is x = n + 3.5.
2.5 + 3.5 = 6
6 + 3.5 = 9.5
9.5 + 3.5 = 13
13 + 3.5 = 16.5
16.5 + 3.5 = 20

Hope this helps.