Discussion
The run below is governed by one rule from beginning to end. Work out the rule and supply the missing number.
5, 12, 19, 26, ?
Answer: A
Correct answer: 33
Every gap is the same: the differences run 7, 7, 7, so the common difference is 7. Applying it once more to the final term, 26 + 7 gives 33. As a check, subtracting 7 from the answer returns 26, the term before it, and repeating that recovers the whole series. A constant difference is the first thing to test on any number series, because it is the commonest rule and takes only two subtractions to rule in or out.
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