In the number series 2, 4, 12, 36, 108, 324, the next term is _______. – UGC NET Question

The pattern begins with a multiplication by 2 and is then followed by repeated multiplication by 3. Specifically, 2 × 2 = 4, 4 × 3 = 12, 12 × 3 = 36, 36 × 3 = 108 and 108 × 3 = 324. To continue the series, we again multiply by 3, giving 324 × 3 = 972. This keeps the multiplicative behaviour consistent.

Option A:
Option A gives 960, which is not equal to 324 multiplied by any simple factor following the established rule. It does not preserve the sequence of multiplications by 3. Hence, 960 is not appropriate.

Option B:
Option B offers 966, which is 6 less than 324 × 3 and alters the multiplication pattern by subtracting an extra number. This is not supported by earlier terms. Therefore, 966 cannot be accepted.

Option C:
Option C suggests 968, which does not correspond to 324 multiplied by a constant ratio used earlier and appears arbitrary. This disrupts the regular multiplicative structure. Thus, 968 is not correct.

Option D:
Option D yields 972, which equals 324 × 3 and continues the run of factors from 3 onward. The series 2, 4, 12, 36, 108, 324, 972 stays well-organised under a clear rule. Therefore, 972 is the correct next term.