Discussion
The list below is incomplete by exactly one term. Determine the relationship and select the number that follows.
5, 9, 13, 17, 21, ?
Answer: C
Correct answer: 25
The gaps are 4, 4, 4, 4, which follow no constant pattern, so the rule lies in the terms rather than in the steps between them. Each term is four times its position plus one: position 1 gives 5 and position 5 gives 21. The next position is 6, which gives 25. As a check, the same rule applied to the earlier positions reproduces 5, 9, 13, 17, 21 exactly, so it accounts for every term shown and not merely the last. Doubling every square keeps the difference pattern intact but doubles it, which is a useful check.
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