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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