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One number has been withheld from the end of this sequence. Work out the rule and supply the missing number.
90, 84, 78, 72, ?

  • A.60
  • B.54
  • C.67
  • D.66

Answer: B

Correct answer: 66

Every gap is the same: the differences run -6, -6, -6, so the common difference is -6. Applying it once more to the final term, 72 - 6 gives 66. As a check, subtracting -6 from the answer returns 72, the term before it, and repeating that recovers the whole series. A falling series is handled exactly as a rising one, with a negative difference, and the arithmetic is safer if the sign is written down explicitly.

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