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      Question

      Find the missing number in the given number series.

      /> 3, 7, 18, 38, 69, ?
      A 100 Correct Answer Incorrect Answer
      B 125 Correct Answer Incorrect Answer
      C 113 Correct Answer Incorrect Answer
      D 133 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      First differences:

      7 - 3 = 4

      18 - 7 = 11

      38 - 18 = 20

      69 - 38 = 31

      Now, second differences:

      11 - 4 = 7

      20 - 11 = 9

      31 - 20 = 11 → increases by 2 each time

      Next second difference = 13

      So, next first difference = 31 + 13 = 44

      Next term = 69 + 44 = 113

      Hence, missing number is 113

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