Question Details

What should come in place of ? in the given series?
8, 15, 29, 57, 113, ?

Options

A

224

B

223

C

225

D

222

Show Answer

Correct Answer :

Option C

225

Solution :

The correct option is 225.

Let us analyze the pattern in the given number series:

8, 15, 29, 57, 113, ?

We can find the relation between consecutive terms as follows:

8×2-1=16-1=15

15×2-1=30-1=29

29×2-1=58-1=57

57×2-1=114-1=113

Following the same pattern, each term is obtained by multiplying the previous term by 2 and subtracting 1.

To find the missing term (?):

113×2-1=226-1=225

Thus, the number that comes in place of ? is 225.

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