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The terms shown are enough to fix the rule and so the term that follows. Settle on the rule the terms obey and give the next number.
33, 25, 17, 9, 1, ?

  • A.-7
  • B.-15
  • C.-23
  • D.-6

Answer: C

Correct answer: -7

Every gap is the same: the differences run -8, -8, -8, -8, so the common difference is -8. Applying it once more to the final term, 1 - 8 gives -7. As a check, subtracting -8 from the answer returns 1, the term before it, and repeating that recovers the whole series. The intended rule is the one that a reader could state in a single sentence.

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