Discussion
A rule that fits every term shown will also give the missing one. Determine the relationship and select the number that follows.
5, 11, 17, 23, 29, ?
Answer: D
Correct answer: 35
The gaps are 6, 6, 6, 6, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is six times its position less one: position 1 gives 5 and position 5 gives 29. The next position is 6, which gives 35. As a check, the same rule applied to the earlier positions reproduces 5, 11, 17, 23, 29 exactly, so it accounts for every term shown and not merely the last. Where a series mixes a power with a linear term, the power dominates and the linear part shows up in the small terms.
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