2, 7, 14, 23, 34, ? — Aptitude Question
2, 7, 14, 23, 34, ?: Find the next term: 2, 7, 14, 23, 34, ? Answer and worked solution on CodeKairo.
- Topic: Number & Letter Series
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 45 seconds
Question
Find the next term:
2, 7, 14, 23, 34, ?
Options
- 45
- 46
- 47
- 48
Show the answer and the worked solution
Correct answer: C. 47
Worked solution
- Differences: 5, 7, 9, 11.
- Next = 34 + 13 = 47.
Answer: 47.
The idea
Always write the differences under the terms. A steady rise of 2 in the differences settles the answer at once.
Shortcut. Add 2 to every term: 4, 9, 16, 25, 36 are the squares 2² to 6², so the blank is 7² − 2 = 47.
Common trap. 45 — repeating the last gap, 11 (34 + 11); the gaps climb by 2, so the next is 13.