Question : Directions: In the following question, select the missing number of the given series.
1, 3, 7, 15, 31, ?
Option 1: 63
Option 2: 60
Option 3: 66
Option 4: 65
Correct Answer: 63
Solution :
Given:
1, 3, 7, 15, 31, ?
Add the power of 2 to the previous term to obtain the next term.
1 + (2)
1
= 1 + 2 = 3,
3 + (2)
2
= 3 + 4 = 7,
7 + (2)
3
= 7 + 8 = 15,
15 + (2)
4
= 15 + 16 = 31,
31 + (2)
5
= 31 + 32 = 63
So, 63 is the missing term in the given series. Hence, the first option is correct.
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