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      Question

      In each of the following number series, one term is

      missing. Find the missing term. 5, 7, 12, 22, 39, 65, ?
      A 113 Correct Answer Incorrect Answer
      B 102 Correct Answer Incorrect Answer
      C 97 Correct Answer Incorrect Answer
      D 125 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Differences: 7 βˆ’ 5 = 2 12 βˆ’ 7 = 5 22 βˆ’ 12 = 10 39 βˆ’ 22 = 17 65 βˆ’ 39 = 26 Differences: 2, 5, 10, 17, 26 Now second differences: 5 βˆ’ 2 = 3 10 βˆ’ 5 = 5 17 βˆ’ 10 = 7 26 βˆ’ 17 = 9 Second differences: 3, 5, 7, 9 β†’ consecutive odd numbers. Next second difference = 11 Next first difference = 26 + 11 = 37 Missing term = 65 + 37 = 102

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