Use inductive reasoning to describe the pattern of each sequence. Then find the next two terms. 1, 2, 5, 6, 9,

continued: 10, 13, 14, 17, 18, 21 ... and so on

Step-by-step explanation:

The pattern for the sequence is it's counting by 1's then 3's then 1's and 3's again. It starts 1, count by one, you get 2, then the sequence changes. 2, count by three's, you get 5. This is the sequence but shown 1, 2 3 4 5, 6 7 8 9.

It looks like the first 1 is the first problem, problem #1. (because of the period)

If this is the case, then the second sequence is 1, 0, - 1, ...

1-1=0

0-1=-1

-1-1=-2

-2-1=-3

-3-1=-4

The sequence would then be 1, 0, - 1, - 2, - 3, - 4, ...