In the number series 1, 8, 27, 64, the next term is _______. – UGC NET Question

The given numbers are 1³, 2³, 3³ and 4³, showing a sequence of consecutive cubes. Following this rule, the next term should be 5³. Calculating 5³ gives 125. Hence, 125 is the correct continuation of the cube sequence.

Option A:
Option A matches the rule because 125 is 5³ and follows naturally after 4³ = 64. The extended series 1, 8, 27, 64, 125 represents cubes of 1, 2, 3, 4 and 5 in order. This neat structure is typical in exam-based number series questions.

Option B:
Option B is 100, which is not the cube of any integer. It lies between 4³ and 5³ but does not satisfy the pure cube property. Thus, it does not fit the pattern.

Option C:
Option C is 150, which has no direct connection with consecutive cubes in this context. Choosing 150 would break the exact power relationship between the terms. Therefore, it cannot be correct.

Option D:
Option D is 216, which equals 6³ and skips the cube of 5. While 216 is a cube, the series is moving stepwise through consecutive integers, so skipping 5³ is not logical. Hence, 216 is not the correct next term here.