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Select the number from among the given options that can replace the question mark (?) in the following series. 2, 3,7, 16, 32,?
Question

Select the number from among the given options that can replace the question mark (?) in the following series.
2, 3,7, 16, 32,?

A.

50

B.

57

C.

64

D.

63

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.

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