In the number series 1, 4, 10, 22, 46, 94, the next term is _______. – UGC NET Question

Each term after the first is obtained by doubling the previous term and adding 2. We have 1 × 2 + 2 = 4, 4 × 2 + 2 = 10, 10 × 2 + 2 = 22, 22 × 2 + 2 = 46 and 46 × 2 + 2 = 94. Applying the same rule to 94 gives 94 × 2 + 2 = 188 + 2 = 190. This maintains a clear and consistent recursive relationship.

Option A:
Option A gives 186, which does not equal 94 × 2 + 2 and would require reducing or changing the constant term. This is not supported by any previous step. Hence, 186 is not correct.

Option B:
Option B offers 188, corresponding to 94 × 2, but misses the required addition of 2 that appears in every transition. This makes the pattern incomplete. Therefore, 188 cannot be accepted.

Option C:
Option C suggests 192, which adds 4 after doubling 94 and introduces a new constant unobserved earlier. This breaks the precise rule of "+2" at the end. Thus, 192 is not appropriate.

Option D:
Option D yields 190, exactly equal to 94 × 2 + 2, and continues the series under one stable transformation. The sequence 1, 4, 10, 22, 46, 94, 190 remains coherent. Therefore, 190 is the correct next term.