What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?

7 and 12?

You B#####

The next one is + 2.

What do you think the next two terms are?

Right.

To find the next terms of an arithmetic sequence, we need to determine the common difference first.

The common difference is the constant amount by which each term increases or decreases.

In this case, the common difference is 5, as each term increases by 5 compared to the previous term.

Therefore, to find the next three terms, we start with the last term given (-3) and add 5 successively.

The next term is -3 + 5 = 2.
The second next term is 2 + 5 = 7.
The third next term is 7 + 5 = 12.

So, the next three terms of the arithmetic sequence are 2, 7, and 12.