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Type the missing number in this sequence:\newline40,  31,  22,  13,  _40,\;31,\;22,\;13,\;\_

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Full solution

Q. Type the missing number in this sequence:\newline40,  31,  22,  13,  _40,\;31,\;22,\;13,\;\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that each number is decreasing by 99.\newline40−9=3140 - 9 = 31\newline31−9=2231 - 9 = 22\newline22−9=1322 - 9 = 13
  2. Apply Pattern: Apply the pattern to find the missing number.\newlineWe subtract 99 from the last known number in the sequence.\newline13−9=413 - 9 = 4
  3. Verify Consistency: Verify the pattern by checking if the sequence is consistent.\newlineThe sequence with the missing number filled in is 40,31,22,13,440, 31, 22, 13, 4. Each term decreases by 99, which is consistent with the pattern we identified.

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