The next three terms are:
48, 57, 66
Work/explanation:
To find the next three terms in this sequence, we will first notice the pattern. In math terms, we call the pattern a common difference, i.e., the amount added or subtracted each time to get the next term. A progression with a common difference is called an arithmetic progression.
For this progression, the common difference is 9, which means 9 is added each time to reach the next term.
To find the next three terms, we will use this common difference.
We take the last term, 39, and add 9 to it : 48
Then, I add 9 again: 57
I add 9 again: 66
Hence, the next three terms are 48, 57, and 66.