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Replace the question mark (?) in the following number series with suitable option.
3, 3, 4.5, 9, 22.5,?
67.5
55
24
27.3
None of the above
67.5
Observe the multipliers: 1, 1.5, 2, 2.5... the series progresses by multiplying the previous term with an incrementing factor of 0.5.
Observe the multipliers: 1, 1.5, 2, 2.5... the series progresses by multiplying the previous term with an incrementing factor of 0.5.
Analyze the multiplier pattern
Calculate the ratio between consecutive terms: 3/3 = 1, 4.5/3 = 1.5, 9/4.5 = 2, 22.5/9 = 2.5.
Apply the next multiplier
The multipliers follow the sequence 1, 1.5, 2, 2.5. Therefore, the next multiplier must be 3. Multiply the last term 22.5 by 3 to get 67.5.
B: 55 is incorrect as it does not follow the geometric progression pattern. C: 24 is incorrect as it fails to satisfy the multiplication relationship between 22.5 and the preceding terms. D: 27.3 is incorrect as it is mathematically inconsistent with the series constant multiplier trend.
A is correct because the series follows a pattern of multiplying by 1, 1.5, 2, 2.5, and finally 3, resulting in 22.5 * 3 = 67.5.
In decimal series, always check the ratio of consecutive terms first; if the ratios are 1.5 or 2.5, it is almost certainly a multiplicative series with fractional steps.
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