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Type the missing number in this sequence:\newline55, 77, _____, 1414, 1919, 2525, 3232, 4040

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Q. Type the missing number in this sequence:\newline55, 77, _____, 1414, 1919, 2525, 3232, 4040
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLook at the differences between consecutive terms to see if there is a consistent pattern.\newline75=27 - 5 = 2\newline147=714 - 7 = 7 (but we can't use this difference because there is a missing number before 1414)\newline1914=519 - 14 = 5\newline2519=625 - 19 = 6\newline3225=732 - 25 = 7\newline4032=840 - 32 = 8\newlineIt seems that the differences are increasing by 11 each time, starting from the difference between 1919 and 1414.
  2. Determine Difference: Determine the difference before the missing number. If the pattern of increasing differences by 11 holds true, then the difference before the missing number should be 44, since the difference after it is 55 (1914=519 - 14 = 5).
  3. Calculate Missing Number: Calculate the missing number using the identified difference.\newlineAdd the difference of 44 to the previous term in the sequence to find the missing number.\newline5+4=95 + 4 = 9\newlineThe missing number should be 99.
  4. Verify Pattern Continues: Verify the pattern continues correctly after the missing number.\newlineNow that we have proposed 99 as the missing number, let's check if the sequence continues with the correct pattern.\newline149=514 - 9 = 5\newlineThis fits with the increasing pattern of differences (2,4,5,6,7,8)(2, 4, 5, 6, 7, 8).

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