Which one of the following is the wrong number in the series 6, 14, 30, 64, 126 ?

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Q: 54 (CAPF/2016)

Which one of the following is the wrong number in the series 6, 14, 30, 64, 126 ?

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,28,14,9,28,5,0

keywords: 

{'wrong number': [0, 0, 0, 1], 'series': [0, 1, 1, 0]}

In this series, each number is obtained by squaring the previous number and then subtracting the previous number itself. Let`s analyze each option to see if it fits this pattern:

Option 1: 126

To get 126 from 64, we can use the pattern: 64 squared is 4096, and if we subtract 64 from it, we get 4032. However, this doesn`t match the given number, so 126 is the correct number in the series.

Option 2: 64

According to the given pattern, we square the previous number (30) and subtract the previous number itself (30) to get the current number. Applying this to 30, we get 900 - 30 = 870. This does not match the given number, so option 2 is the wrong number in the series.

Option 3: 14

Using the same pattern, we square the previous number (6) and subtract the previous number itself (6) to get the current number. Applying this to 6, we get 36 - 6 = 30. This matches the given number, so option 3 is not the wrong number in the series.

Option 4: 6

According to the pattern

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