CA Foundation · Quantitative Aptitude · Number Series, Coding-Decoding and Odd Man Out
Find the next term in the series: 2, 5, 10, 17, 26, ?
The next term is 37. Each term equals a perfect square plus one, so the sixth term is 6 squared, which is 36, plus 1. The differences between terms rise by 2 each time (3, 5, 7, 9, 11), which also gives 26 plus 11, or 37.
- A35
- B36
- C37Correct
- D38
Explanation
The terms follow n² + 1: 1²+1=2, 2²+1=5, 3²+1=10, 4²+1=17, 5²+1=26. The next term is 6²+1=37. The successive differences 3, 5, 7, 9, 11 also give 26+11=37. Option 36 is just 6² and misses the +1.
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