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The list below is incomplete by exactly one term. Find the rule and name the term that completes the run.
2, 14, 98, 686, ?

  • A.4802
  • B.4116
  • C.5488
  • D.33614

Answer: C

Correct answer: 4802

The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 14 over 2 is 7, and 98 over 14 is 7, so the ratio is 7. Multiplying the last term, 686 times 7 is 4802. As a check, dividing the answer by 7 returns 686, which is the last term shown. Working the rule backwards from the answer to the first term is the most reliable check available.

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