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Type the missing number in this sequence:\newline1212, _\_, 00, 6-6, 12-12, 18-18, 24-24

Full solution

Q. Type the missing number in this sequence:\newline1212, _\_, 00, 6-6, 12-12, 18-18, 24-24
  1. Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between the consecutive terms given.\newline6-6 (00 to 6-6) \newline6-6 (6-6 to 12-12) \newline6-6 (12-12 to 18-18) \newline6-6 (18-18 to 0011)\newlineIt seems that each term is 0022 less than the previous term.
  2. Check Difference for Missing Number: To confirm the pattern, we should check if the difference between 1212 and the next term (the missing number) is also 6-6. If the pattern holds, the missing number should be 126=612 - 6 = 6.
  3. Confirm Consistent Pattern: Now let's check if the sequence is consistent with this pattern:\newline12,6,0,6,12,18,2412, 6, 0, -6, -12, -18, -24\newlineThe differences between these terms are:\newline612=66 - 12 = -6\newline06=60 - 6 = -6\newline60=6-6 - 0 = -6\newline12(6)=6-12 - (-6) = -6\newline18(12)=6-18 - (-12) = -6\newline24(18)=6-24 - (-18) = -6\newlineThe pattern is consistent, and the sequence is correct.

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