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Type the missing number in this sequence:\newline22, 22, _____, 88, 1414, 2222, 3232

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Q. Type the missing number in this sequence:\newline22, 22, _____, 88, 1414, 2222, 3232
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe need to look at the differences between the numbers to see if there is a consistent pattern.\newline22 to 22 has a difference of 00.\newlineWe will need to find the difference between the subsequent numbers to determine the pattern.
  2. Calculate Differences: Calculate the differences between the subsequent numbers in the sequence.\newline82=68 - 2 = 6\newline148=614 - 8 = 6\newline2214=822 - 14 = 8\newline3222=1032 - 22 = 10\newlineIt seems that the differences are not consistent, which means we might need to look at the sequence of differences to find a secondary pattern.
  3. Look for Secondary Pattern: Look for a pattern in the sequence of differences.\newlineThe sequence of differences between the numbers is 00, (missing difference), 66, 66, 88, 1010.\newlineWe can see that the differences are increasing, but we need to determine the missing difference to find the pattern.
  4. Determine Pattern: Determine the pattern in the sequence of differences.\newlineIf we look at the differences of the differences:\newline60=66 - 0 = 6\newline86=28 - 6 = 2\newline108=210 - 8 = 2\newlineIt seems that the differences are increasing by 22 each time. However, since we have two 66s in a row, we need to check if there is a mistake.

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