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Find the missing number in the series: 12, 24, 48, 96, ?
144
192
184
200
192
Notice that each consecutive term is multiplied by 2, forming a geometric progression with a common ratio of 2.
Notice that each consecutive term is multiplied by 2, forming a geometric progression with a common ratio of 2.
Analyze Consecutive Ratios
Examine the relationship between adjacent terms: 24 divided by 12 is 2, 48 divided by 24 is 2, and 96 divided by 48 is 2.
Calculate Missing Term
Apply the established multiplication factor of 2 to the final given term: 96 multiplied by 2 equals 192.
A: 144 is incorrect because it results from an incorrect addition increment; C: 184 is incorrect because 96 multiplied by 2 does not yield 184; D: 200 is incorrect as it deviates from the consistent factor of 2.
B is correct because each consecutive number in the series is obtained by multiplying the previous number by 2, resulting in 96 multiplied by 2 equals 192.
For geometric number series, test the ratio of the second term to the first term first to reveal multiplicative factors instantly.
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