Question

Find the 2nd and 3rd term of the sequence -7, ___, ____, -22, -27,....(1 point)
Responses

-10,-17
-10,-17

-12,-17
-12,-17

-17,-12
-17,-12

-12,-15

Answer 1

To find the 2nd and 3rd terms of the sequence -7, ___, ____, -22, -27, we need to determine the pattern.

Let's observe the difference between the known terms:

- The difference from -22 to -27 is:
\[
-27 - (-22) = -5
\]

This suggests a consistent pattern in how the terms decrease. To find the term before -22, we can look for the difference to find -17:
\[
-22 + 5 = -17
\]

Now we can look for the term before -17, which we can propose will follow a similar pattern:
If -17 to the previous term has the same difference as -22 to -27, we will have:
\[
-17 + 5 = -12
\]

Thus, the sequence beginning from -7 goes:
-7, -12, -17, -22, -27

The 2nd and 3rd terms are:
**-12, -17.**

So the correct response is:
**-12, -17.**