Discussion
The numbers below were generated by a rule that holds throughout. Find the rule and name the term that completes the run.
2, 10, 30, 68, ?
Answer: A
Correct answer: 130
The gaps are 8, 20, 38, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is the cube of its position plus the position: position 1 gives 2 and position 4 gives 68. The next position is 5, which gives 130. As a check, the same rule applied to the earlier positions reproduces 2, 10, 30, 68 exactly, so it accounts for every term shown and not merely the last. A cube series is best recognised by trying small whole numbers rather than by analysing the gaps.
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