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Type the missing number in this sequence:\newline68,  75,  82,  ____,  9668,\;75,\;82,\;\_\_\_\_,\;96

Full solution

Q. Type the missing number in this sequence:\newline68,  75,  82,  ____,  9668,\;75,\;82,\;\_\_\_\_,\;96
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that each number is increasing by a constant amount.
  2. Determine Difference: Determine the common difference between the terms.\newline7568=775 - 68 = 7 and 8275=782 - 75 = 7, so the common difference is 77.
  3. Find Missing Number: Use the common difference to find the missing number. 82+7=8982 + 7 = 89
  4. Verify Pattern: Verify the pattern continues correctly after the missing number. 89+7=9689 + 7 = 96, which matches the next number in the sequence.

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