Question Details

A single term in the sequence below does not conform to the established mathematical rule. Identify the incorrect number.

4, 12, 30, 68, 148, 304, 622

Options

A

30

B

12

C

622

D

148

E

304

Show Answer

Correct Answer :

Option D

148

Solution :

The correct answer is 148.

To identify the incorrect term in the sequence, let us analyze the mathematical rule governing the progression between consecutive terms:

4, 12, 30, 68, 148, 304, 622

We observe that each term is obtained by multiplying the previous term by 2 and adding consecutive even integers starting from 4:

4×2+4=12

12×2+6=30

30×2+8=68

68×2+10=146

146×2+12=304

304×2+14=622

According to this rule, the term following 68 should be 146 rather than 148.

Therefore, 148 is the incorrect number in the sequence.

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