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Type the missing number in this sequence:\newline92,    84,    76,    ____,    60,    5292,\;\;84,\;\;76,\;\;\_\_\_\_,\;\;60,\;\;52

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Full solution

Q. Type the missing number in this sequence:\newline92,    84,    76,    ____,    60,    5292,\;\;84,\;\;76,\;\;\_\_\_\_,\;\;60,\;\;52
  1. Identify pattern: Identify the pattern in the sequence. The difference between consecutive terms appears to be consistent. Calculate the difference between the first two terms: 92−84=892 - 84 = 8.
  2. Verify consistency: Verify the pattern by checking the difference between the next pair of terms: 84−76=884 - 76 = 8. The pattern of decreasing by 88 is confirmed.
  3. Apply pattern: Apply the pattern to find the missing number. Subtract 88 from the third term (7676): 76−8=6876 - 8 = 68.
  4. Check sequence: Check the sequence with the newly found number: 92,84,76,68,60,5292, 84, 76, 68, 60, 52. Verify if the pattern holds for the rest of the sequence. Calculate 60−52=860 - 52 = 8. The pattern is consistent.

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