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Type the missing numbers in this sequence:\newline66-66, _____\_\_\_\_\_, 60-60, 57-57, _____\_\_\_\_\_, 51-51

Full solution

Q. Type the missing numbers in this sequence:\newline66-66, _____\_\_\_\_\_, 60-60, 57-57, _____\_\_\_\_\_, 51-51
  1. Identify Pattern: To find the missing numbers in the sequence, we need to determine the pattern or rule that the sequence follows. We can start by looking at the known numbers and see if we can identify a consistent difference between them.
  2. Calculate Differences: The difference between 60-60 and 57-57 is 33, and the difference between 57-57 and 51-51 is 66. It seems that the sequence might be increasing by a consistent amount. To confirm this, we need to find the difference between the first two known numbers, 66-66 and 60-60.
  3. Confirm Pattern: The difference between 66-66 and 60-60 is 66. This suggests that the sequence might be increasing by 33 each time, since the difference between 60-60 and 57-57 is 33, and the difference between 57-57 and 51-51 is 66 (which is two steps of 33). Let's check this pattern by adding 33 to 66-66 to find the next number in the sequence.
  4. Find Next Number: Adding 33 to 66-66 gives us 63-63. So the second number in the sequence should be 63-63 if the pattern of increasing by 33 holds true.
  5. Continue Pattern: Now let's find the number after 57-57 by adding 33. Adding 33 to 57-57 gives us 54-54. So the fifth number in the sequence should be 54-54 if the pattern continues.
  6. Review Sequence: Let's review the sequence with the numbers we've found to ensure it follows the pattern: 66-66, 63-63, 60-60, 57-57, 54-54, 51-51. Each number increases by 33 from the previous number, confirming our pattern.

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