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The run below is governed by one rule from beginning to end. Find the rule and name the term that completes the run.
75, 62, 49, 36, ?

  • A.23
  • B.10
  • C.-3
  • D.24

Answer: C

Correct answer: 23

Every gap is the same: the differences run -13, -13, -13, so the common difference is -13. Applying it once more to the final term, 36 - 13 gives 23. As a check, subtracting -13 from the answer returns 36, the term before it, and repeating that recovers the whole series. Reading a series backwards sometimes turns an awkward rule into a familiar one.

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