To find the missing numbers in the sequence:
-37, -43, ____, -55, -61, ____, -73
Let's look for a pattern in the numbers:
- The difference between -37 and -43 is -6.
- The difference between -43 and the missing number (let's call it x) must follow the same pattern, so we look for -55 next.
- The difference between -43 and -55 is also -12.
- Continuing this pattern of differences: -43 to x could also be -6. -55 to -61 is also -6.
- From -61 to the next missing number (let's call it y) must follow the pattern: -61 and y should have a difference of -12 (as seen earlier).
Thus -73 fits that pattern.
Now summing up what we have:
- Starting with -37
- Next is -43 (which is -6)
- Next number (-43 -6 = -49)
- From -49 to -55 is -6.
- Then from -55 to -61 is again -6.
- From -61 to -67 puts us at -73.
Thus the final sequence filled in looks like:
-37, -43, -49, -55, -61, -67, -73
So the missing numbers are: -49 and -67.