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Find the missing number in the following sequence: 12, 24, 48, 96,?
144
192
184
202
192
Observe that each term is double the previous term, implying a geometric progression with a common ratio of 2.
Observe that each term is double the previous term, implying a geometric progression with a common ratio of 2.
Analyze the pattern
Examine the relationship between consecutive numbers: 12 to 24 (12 * 2 = 24), 24 to 48 (24 * 2 = 48), 48 to 96 (48 * 2 = 96).
Calculate the missing term
Since each term is multiplied by 2 to get the next term, multiply the last term (96) by 2: 96 * 2 = 192.
A: 144 is incorrect as it results from adding 48 to 96, which does not fit the multiplication pattern; C: 184 is incorrect as it is just 96 * 2 - 8; D: 202 is incorrect as it does not follow the geometric progression of ratio 2.
B is correct because the series follows a geometric progression where every term is multiplied by 2 to obtain the subsequent term, so 96 multiplied by 2 equals 192.
In any number series, always check for basic arithmetic growth first; if the growth is rapid, check for multiplication or squares/cubes instead of addition.
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