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Type the missing numbers in this sequence:\newline____\_\_\_\_, 105105, ____\_\_\_\_, 9191, 8484, 7777, 7070

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Full solution

Q. Type the missing numbers in this sequence:\newline____\_\_\_\_, 105105, ____\_\_\_\_, 9191, 8484, 7777, 7070
  1. Observe Pattern: First, let's observe the pattern in the sequence. We notice that the numbers are decreasing, so we need to determine the common difference between consecutive terms.
  2. Find Common Difference: To find the common difference, we can subtract a term from the term that follows it. Let's use the two known consecutive terms: 8484 and 7777. \newlineCommon difference = 77−84=−777 - 84 = -7
  3. Find Missing Term Before 105105: Now that we know the common difference is −7-7, we can find the missing term before 105105 by adding −7-7 to 105105.\newlineMissing term = 105+(−7)=98105 + (-7) = 98
  4. Find Missing Term After 105105: Next, we can find the missing term after 105105 by subtracting 77 from 105105.
    Missing term = 105−7=98105 - 7 = 98
    This is incorrect since we already have 9898 before 105105, and the sequence is supposed to be decreasing. We should subtract 77 from 9898 instead.

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