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.