In the number series 3, 6, 12, 24, the next term is _______. – UGC NET Question

Each term in the series is obtained by multiplying the previous term by 2, giving a constant ratio of 2. We have 3×2 = 6, 6×2 = 12 and 12×2 = 24, which confirms the rule. Applying the same operation to the last term gives 24×2 = 48. Thus, 48 is the only term that continues the geometric pattern correctly.

Option A:
Option A suggests 30, which would correspond to adding 6 rather than multiplying by 2. This change in operation does not match any of the earlier transitions in the series. Therefore, 30 does not fit the rule of constant multiplication.

Option B:
Option B maintains the ratio of 2 because 48 ÷ 24 = 2, just as 24 ÷ 12 and 12 ÷ 6 equal 2. The extended sequence 3, 6, 12, 24, 48 clearly follows a doubling rule. This makes 48 the unique correct choice under standard number-series logic.

Option C:
Option C gives 36, corresponding to a factor of 1.5 from 24, which has not appeared anywhere in the series. Introducing this new ratio would destroy the simplicity and consistency of the pattern. Hence, 36 cannot be considered correct.

Option D:
Option D offers 54, which would require multiplying 24 by 2.25. Since none of the previous steps uses such a factor and all use an exact doubling, this option contradicts the established rule. Therefore, it is not the right answer.