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The run of numbers below stops one term short of where it should. Establish what governs the terms and give the one that comes next.
15, 27, 39, 51, ?

  • A.75
  • B.87
  • C.63
  • D.64

Answer: A

Correct answer: 63

Every gap is the same: the differences run 12, 12, 12, so the common difference is 12. Applying it once more to the final term, 51 + 12 gives 63. As a check, subtracting 12 from the answer returns 51, the term before it, and repeating that recovers the whole series. Checking the proposed answer against the rule from the first term forward is the cheapest way to catch an error.

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