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Type the missing number in this sequence:\newline84,  75,  66,  ____,  48,  39,  3084,\;75,\;66,\;\_\_\_\_,\;48,\;39,\;30

Full solution

Q. Type the missing number in this sequence:\newline84,  75,  66,  ____,  48,  39,  3084,\;75,\;66,\;\_\_\_\_,\;48,\;39,\;30
  1. Determine Pattern: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between the numbers provided.\newline7584=975 - 84 = -9\newline6675=966 - 75 = -9\newlineThe pattern seems to be that each number is 99 less than the previous number.
  2. Continue Pattern: If we continue this pattern, the missing number should be 99 less than 6666. \newline669=5766 - 9 = 57
  3. Check Missing Number: To ensure we have the correct pattern, let's check if the next number in the sequence (after the missing number) follows the same pattern.\newline485748 - 57 should equal 9-9.\newline4857=948 - 57 = -9\newlineThis confirms our pattern is correct.
  4. Confirm Pattern: Now, let's check if the sequence continues correctly after 4848. \newline394839 - 48 should also equal 9-9. \newline3948=939 - 48 = -9 \newlineThe pattern is consistent, so we can be confident in our solution.

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