The series follows an alternating pattern of multiplying by 2 and then subtracting 2. Starting from 5, we get 5 Γ 2 = 10, then 10 β 2 = 8, then 8 Γ 2 = 16 and then 16 β 2 = 14. Continuing this pattern, the next step after 14 should be to multiply by 2, giving 14 Γ 2 = 28. This preserves the established alternation of operations.
Option A:
Option A, 18, could arise from adding 4 to 14, but there is no consistent rule of adding 4 in the earlier part of the series. It introduces a new pattern not supported by previous terms.
Option B:
Option B, 20, might seem plausible as adding 6 to 14, yet such an operation is not part of the alternating multiply by 2 and subtract 2 rule evident in the earlier sequence.
Option C:
Option C, 24, equals 16 + 8 or similar combinations but does not correspond to the prescribed alternation of operations applied directly to the preceding term.
Option D:
Option D directly applies the observed pattern, maintaining the multiply by 2 step after a subtract step. It ensures that the structure of alternating operations continues without disruption, making 28 the correct next term.
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