What will come in place of the question mark (?) in the following series?
3, 5, 10, 20, 37, ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 63
Look at the difference between each pair of terms. Each difference is one more than a square:
\(5-3=2=1^2+1\)
\(10-5=5=2^2+1\)
\(20-10=10=3^2+1\)
\(37-20=17=4^2+1\)
The next difference is \(5^2+1=26\), so the missing term is \(37+26=63\).