Find the wrong term from the following series: 1, 6, 16, 31, 51, 76, 106, 140,…

2019

Find the wrong term from the following series: 1, 6, 16, 31, 51, 76, 106, 140, 181, 226

  1. A.

    226

  2. B.

    51

  3. C.

    76

  4. D.

    140

Attempted by 128 students.

Show answer & explanation

Correct answer: D

Key idea: the sequence is formed by adding increments that increase by 5 each time (5, 10, 15, ...).

  1. 1 + 5 = 6

  2. 6 + 10 = 16

  3. 16 + 15 = 31

  4. 31 + 20 = 51

  5. 51 + 25 = 76

  6. 76 + 30 = 106

  7. 106 + 35 = 141 (expected term)

  8. 141 + 40 = 181

  9. 181 + 45 = 226

Check the given term 140:

106 + 34 = 140, which uses an increment of 34 instead of the required 35. This breaks the consistent pattern of increasing increments by 5.

Conclusion: the wrong term is 140; the correct value in that position should be 141.

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