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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Find the next term in the series: 3, 6, 12, 24, ?
48
36
42
50
48
Observe the constant ratio between consecutive terms; each term is double the previous one, implying a multiplication by 2 pattern.
Observe the constant ratio between consecutive terms; each term is double the previous one, implying a multiplication by 2 pattern.
Analyze the progression
Observe the sequence: 3, 6, 12, 24. Calculate the ratio between terms: 6/3 = 2, 12/6 = 2, 24/12 = 2.
Apply the pattern to find the next term
Since the constant ratio is 2, multiply the last given term (24) by 2: 24 * 2 = 48.
B: 36 is incorrect as it implies an addition pattern of +3, +6, +12, +18, which doesn't fit the exponential growth; C: 42 is incorrect as it does not follow the doubling sequence; D: 50 is incorrect as it is not a multiple of 24 in this geometric progression.
A is correct because the series follows a geometric progression where each term is multiplied by 2 to obtain the subsequent term, making the next term 24 * 2 = 48.
For number series, always check the difference between terms first. If the difference increases rapidly, check for multiplication or square/cube patterns rather than simple addition.
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