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What is the missing number in the series: 12, 24, 48, 96, ?
144
192
182
204
192
Observe that each consecutive term is obtained by multiplying the previous term by 2, so quickly calculate 96 multiplied by 2 to find the missing value.
Observe that each consecutive term is obtained by multiplying the previous term by 2, so quickly calculate 96 multiplied by 2 to find the missing value.
Analyze consecutive terms
Examine the relationship between adjacent numbers: 24 divided by 12 is 2, 48 divided by 24 is 2, and 96 divided by 48 is 2.
Identify the multiplication rule
The given series is a geometric progression where every term is multiplied by a constant factor of 2.
Calculate the missing number
Multiply the last given term 96 by the common ratio 2 to get 96 multiplied by 2 equals 192.
A: 144 is incorrect because it incorrectly assumes an arithmetic increment rather than a multiplier of 2; C: 182 is incorrect due to a calculation error that does not match the geometric ratio; D: 204 is incorrect as it exceeds the correct double value of 96.
B is correct because each number in the series is multiplied by 2 to get the next term, and 96 multiplied by 2 gives 192.
For number series questions, always check the difference between terms first; if differences grow rapidly, test for geometric multiplication factors instead of addition.
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