Discussion
The numbers below are not random; a rule accounts for all of them. Establish what governs the terms and give the one that comes next.
2, 6, 10, 30, 34, ?
Answer: A
Correct answer: 102
The steps run 4, 4, 20, 4, 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 34 gives 102. As a check, the step from 34 to the answer is 68, which breaks the run of preceding gaps exactly as an alternating rule demands. Reading the steps in pairs rather than singly is what makes an alternating rule visible.
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