If the series 4, 5, 8, 13, 14, 17, 22, .... is continued in the same pattern,…
2014
If the series 4, 5, 8, 13, 14, 17, 22, .... is continued in the same pattern, which one of the following is not a term of this series ?
- A.
31
- B.
32
- C.
33
- D.
35
Attempted by 144 students.
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Correct answer: C
Pattern: The sequence increases by 1, then 3, then 5, and this cycle repeats.
4 + 1 = 5 → 5 + 3 = 8 → 8 + 5 = 13
13 + 1 = 14 → 14 + 3 = 17 → 17 + 5 = 22
22 + 1 = 23 → 23 + 3 = 26 → 26 + 5 = 31
31 + 1 = 32 → 32 + 3 = 35 → 35 + 5 = 40
Conclusion: Because the sequence follows the 1, 3, 5 repeating increments, the numbers around that range are 31, 32, 35, 40. The number 33 does not appear, so 33 is not a term of the series.
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