Discussion
One entry is missing from the sequence set out below. Establish what governs the terms and give the one that comes next.
13, 36, 59, 82, ?
Answer: B
Correct answer: 105
Every gap is the same: the differences run 23, 23, 23, so the common difference is 23. Applying it once more to the final term, 82 + 23 gives 105. As a check, subtracting 23 from the answer returns 82, the term before it, and repeating that recovers the whole series. A series with only three terms shown can rarely be pinned down, which is why four or five are usually given.
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