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Type the missing number in this sequence:\newline1313, _\_, 99, 77, 55

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Full solution

Q. Type the missing number in this sequence:\newline1313, _\_, 99, 77, 55
  1. Observe Sequence: We observe that the sequence is decreasing. To find the pattern, we need to determine the difference between the consecutive terms that are given.
  2. Find Difference: We subtract 77 from 99 to find the difference between these two terms.\newline9−7=29 - 7 = 2
  3. Determine Pattern: We subtract 55 from 77 to find the difference between the next pair of terms.\newline7−5=27 - 5 = 2
  4. Calculate Missing Number: Since the difference between the terms is consistent and equal to 22, we can assume that the sequence decreases by 22 each time.
  5. Verify Sequence: To find the missing number, we subtract 22 from 1313. \newline13−2=1113 - 2 = 11
  6. Verify Sequence: To find the missing number, we subtract 22 from 1313. \newline13−2=1113 - 2 = 11We check if adding 22 to the missing number gives us the next number in the sequence, which is 99. \newline11+2=1311 + 2 = 13, which is not correct. We should have subtracted 22 from 1111 to get 99.

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