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Type the missing numbers in this sequence:\newline____\_\_\_\_, 44, −3-3, ____\_\_\_\_, −17-17, −24-24

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Full solution

Q. Type the missing numbers in this sequence:\newline____\_\_\_\_, 44, −3-3, ____\_\_\_\_, −17-17, −24-24
  1. Calculate Difference −3-3 and 44: Let's find the difference between the numbers we know. Calculate the difference between −3-3 and 44.\newlineCalculation: −3−4=−7-3 - 4 = -7
  2. Calculate Difference −17-17 and −3-3: Now, find the difference between −17-17 and −3-3.\newlineCalculation: −17−(−3)=−17+3=−14-17 - (-3) = -17 + 3 = -14
  3. Calculate Difference −24-24 and −17-17: The differences we found are not the same, so let's check the next pair to find a pattern. Calculate the difference between −24-24 and −17-17.\newlineCalculation: −24−(−17)=−24+17=−7-24 - (-17) = -24 + 17 = -7
  4. Identify Pattern: Now we see that the difference between −24-24 and −17-17 is −7-7, which is the same as the difference between −3-3 and 44. So, the sequence seems to decrease by 77 each time.
  5. Find Missing Number: To find the first missing number, subtract 77 from 44.\newlineCalculation: 4−7=−34 - 7 = -3, but we already have −3-3 as the next number, so we made a mistake. We should have added 77 to −3-3 to find the number before it.

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