Discussion
The terms below were produced by applying the same operation repeatedly. Work out the rule and supply the missing number.
7, 18, 29, 40, ?
Answer: C
Correct answer: 51
Every gap is the same: the differences run 11, 11, 11, so the common difference is 11. Applying it once more to the final term, 40 + 11 gives 51. As a check, subtracting 11 from the answer returns 40, the term before it, and repeating that recovers the whole series. Subtracting each term from the next is worth doing before anything else; a row of identical results settles the matter immediately.
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