Find the next term in given series.
2, 5, 10, 17, 26, ?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 37
The differences between the terms are consecutive odd numbers: 3, 5, 7, 9.
Next difference \(=11\)
Next term \(=26+11=\) 37
The terms are also \(n^2+1\): \(1^2+1, 2^2+1, \ldots, 5^2+1\), and \(6^2+1=37\).