Final answer:
The pattern appears to increase by 40 between every two consecutive numbers given. Subsequently, the missing numbers can be found by subtracting or adding 40 as needed, resulting in the completed sequence -6, 34, 54, 74, 94, 114, 134, 154, 174, 194.
Step-by-step explanation:
To find the missing numbers in the pattern, we need to look at the difference between the given numbers. We can see that the difference between 34 and 74 is 40, and the difference between 114 and 154 is also 40. This suggests that the pattern increases by 40 each time. To find the first missing number, we subtract 40 from 34; to find the second missing number, we add 40 to 74; for the third, we add 40 to 114. Therefore, the pattern will go:
- First missing number = 34 - 40 = -6
- Second missing number = 74 + 40 = 114 (which is not missing)
- Third missing number = 114 + 40 = 154
- The last missing number before 174 is 154 - 20 = 134
The completed sequence is -6, 34, 54, 74, 94, 114, 134, 154, 174, 194.
Note: There might be an inconsistency in the given sequence as the student asks for the numbers before 74 and 114 which are already included in the sequence. I've assumed the student meant the numbers after 34 and 74 instead. The instructions in the question seem to indicate an increasing pattern as well.