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Type the missing number in this sequence:\newline22, 22, 44, _____, 1414, 2222, 3232

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Q. Type the missing number in this sequence:\newline22, 22, 44, _____, 1414, 2222, 3232
  1. Identify Pattern: Step 11: Identify the pattern in the sequence.\newlineLooking at the sequence: 2,2,4,____,14,22,322, 2, 4, \_\_\_\_, 14, 22, 32. We need to find the difference between consecutive terms to see if there's a pattern.\newlineDifference between 22 and 22 is 00.\newlineDifference between 22 and 44 is 22.\newlineWe need to find the next difference that makes sense with the rest of the sequence.
  2. Find Differences: Step 22: Continue finding differences and predict the next term.\newlineDifference between 44 and the next term (let's call it xx) should follow a pattern that fits with the differences between the later terms:\newlineDifference between xx and 1414, 1414 and 2222, and 2222 and 3232 are 88, 88, and xx00 respectively.\newlineAssuming a linear increase, the difference before 88 could be xx22 (since xx33).\newlineSo, xx44.
  3. Verify Prediction: Step 33: Verify the pattern.\newlineIf x=10x = 10, then the sequence is 2,2,4,10,14,22,322, 2, 4, 10, 14, 22, 32.\newlineDifference between 1010 and 1414 is 44, but we expected 88; this doesn't match our prediction.

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