What will come in place of the question mark (?) in the following series?
2, 3, 11, 38, 102, ?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 227
Look at the difference between each pair of terms. The differences are the cubes 1, 8, 27, 64:
\(3-2=1=1^3\)
\(11-3=8=2^3\)
\(38-11=27=3^3\)
\(102-38=64=4^3\)
The next difference is \(5^3=125\), so the missing term is \(102+125=227\).