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      Question

      In each of the following number series, one term is

      missing. Find the missing term. 2, 6, 15, 31, 56, ?, 141
      A 105 Correct Answer Incorrect Answer
      B 92 Correct Answer Incorrect Answer
      C 49 Correct Answer Incorrect Answer
      D 55 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Observe the differences: 6 - 2 = 4 15 - 6 = 9 31 - 15 = 16 56 - 31 = 25 These are consecutive square numbers: 2², 3², 4², 5² Next differences should be: 6² = 36 7² = 49 So, Missing term = 56 + 36 = 92 And, 92 + 49 = 141 Hence, the missing term is 92.

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