Discussion
A rule that fits every term shown will also give the missing one. Work out the rule and supply the missing number.
6, 27, 48, 69, ?
Answer: A
Correct answer: 90
Every gap is the same: the differences run 21, 21, 21, so the common difference is 21. Applying it once more to the final term, 69 + 21 gives 90. As a check, subtracting 21 from the answer returns 69, the term before it, and repeating that recovers the whole series. Arithmetic progressions appear more often than any other family in this topic, so they are worth eliminating quickly before looking for anything subtler.
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