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The numbers below are not random; a rule accounts for all of them. Work out the rule and supply the missing number.
23, 40, 57, 74, ?

  • A.108
  • B.125
  • C.91
  • D.92

Answer: B

Correct answer: 91

Every gap is the same: the differences run 17, 17, 17, so the common difference is 17. Applying it once more to the final term, 74 + 17 gives 91. As a check, subtracting 17 from the answer returns 74, the term before it, and repeating that recovers the whole series. Large differences are easier to handle by adding in parts, taking the tens and the units separately.

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