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Type the missing number in this sequence:\newline67,    64,    _____,    58,    55,    5267,\;\;64,\;\;\_\_\_\_\_,\;\;58,\;\;55,\;\;52

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Full solution

Q. Type the missing number in this sequence:\newline67,    64,    _____,    58,    55,    5267,\;\;64,\;\;\_\_\_\_\_,\;\;58,\;\;55,\;\;52
  1. Identify pattern in sequence: Identify the pattern in the sequence. Look at the differences between consecutive terms.67−64=367 - 64 = 3; 58−55=358 - 55 = 3; 55−52=355 - 52 = 3.
  2. Apply pattern to find missing number: Apply the identified pattern to find the missing number. Since each term decreases by 33, subtract 33 from 6464.\newline64−3=6164 - 3 = 61.
  3. Check if pattern is maintained: Check if inserting 6161 maintains the pattern. 61−5861 - 58 should equal 33.\newline61−58=361 - 58 = 3.

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