Discussion
The list below is incomplete by exactly one term. Work out the rule and supply the missing number.
31, 50, 69, 88, ?
Answer: D
Correct answer: 107
Every gap is the same: the differences run 19, 19, 19, so the common difference is 19. Applying it once more to the final term, 88 + 19 gives 107. As a check, subtracting 19 from the answer returns 88, the term before it, and repeating that recovers the whole series. The gap between the first and last shown terms divided by the number of steps gives the common difference directly, which is a useful check.
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