Question

The first three terms of an arithmetic sequence are as follows.

-7, -12, -17

Find the next two terms of this sequence.
-7, -12,-17, 0

Answer 1

-22, -27

Explanation:

In an arithmetic sequence there is a constant difference, the difference between a term and the next term.

-12 - (-7) = -12 + 7 = -5

The constant difference is -5.

If you add -5 to a term, you get the next term.

-17 + (-5) = -22

-22 + (-5) = -27

Answer: -22, -27