Correct option is B
The series is: 2, 3, 7, 16, 32, ?
The differences between consecutive terms to find a pattern:
3−2=1
7−3=4
16−7=9
32−16=16
The differences are 1, 4, 9, 16, which are consecutive squares:
Following this pattern, the next difference should be 25
Now, add 25 to the last term (32) to find the missing number:
32+25=57
Correct Answer (b) 57.