Discussion
The numbers below are not random; a rule accounts for all of them. Discover the pattern and state the value the question mark conceals.
6, 12, 21, 42, 51, ?
Answer: A
Correct answer: 102
The steps run 6, 9, 21, 9, which grow and then fall back, so a single operation cannot account for them. Two operations are applied in turn, and continuing the alternation from 51 gives 102. As a check, the step from 51 to the answer is 51, which breaks the run of preceding gaps exactly as an alternating rule demands. A term that breaks an otherwise clear pattern is usually a signal of an interleaved series rather than an error.
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