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Type the missing numbers in this sequence:\newline____\_\_\_\_, −43-43, −34-34, −25-25, −16-16, ____\_\_\_\_

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Full solution

Q. Type the missing numbers in this sequence:\newline____\_\_\_\_, −43-43, −34-34, −25-25, −16-16, ____\_\_\_\_
  1. Find Difference −34−−43-34 - -43: To find the pattern in the sequence, we need to look at the differences between the numbers provided.\newlineLet's start by finding the difference between −34-34 and −43-43.\newlineCalculation: −34−(−43)=−34+43=9-34 - (-43) = -34 + 43 = 9\newlineSo the difference between −34-34 and −43-43 is 99.
  2. Check Next Pair −25−−34-25 - -34: Now let's check if the same difference applies to the next pair of numbers in the sequence.\newlineWe'll find the difference between −25-25 and −34-34.\newlineCalculation: −25−(−34)=−25+34=9-25 - (-34) = -25 + 34 = 9\newlineAgain, the difference is 99.
  3. Apply Pattern to Find Missing Numbers: Since we have established a pattern of adding 99 to get to the next number in the sequence, we can apply this pattern to find the missing numbers.\newlineTo find the number before −43-43, we subtract 99 from −43-43.\newlineCalculation: −43−9=−52-43 - 9 = -52\newlineSo the first missing number is −52-52.
  4. Find First Missing Number: To find the number after −16-16, we add 99 to −16-16.\newlineCalculation: −16+9=−7-16 + 9 = -7\newlineSo the second missing number is −7-7.

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