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Type the missing number in this sequence:\newline87,  78,  ____,  60,  51,  4287,\;78,\;\_\_\_\_,\;60,\;51,\;42

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Q. Type the missing number in this sequence:\newline87,  78,  ____,  60,  51,  4287,\;78,\;\_\_\_\_,\;60,\;51,\;42
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that the numbers are decreasing. To find the pattern, we can subtract each number from the one before it.\newline7887=978 - 87 = -9\newlineThis suggests that the sequence might be decreasing by 99 each time.
  2. Verify Pattern: Verify the pattern with the next pair of numbers in the sequence. \newline6051=960 - 51 = 9\newline5142=951 - 42 = 9\newlineThe pattern of decreasing by 99 is consistent.
  3. Apply Pattern: Apply the pattern to find the missing number. 789=6978 - 9 = 69 Therefore, the missing number in the sequence should be 6969.
  4. Check Solution: Check the sequence with the found number to ensure it follows the pattern.\newline87,78,69,60,51,4287, 78, 69, 60, 51, 42\newlineWe can see that subtracting 99 from each number results in the next number in the sequence, confirming our solution.

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