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This run continues in a way the terms shown are enough to determine. Establish what governs the terms and give the one that comes next.
5, 10, 17, 34, 41, ?

  • A.48
  • B.84
  • C.75
  • D.82

Answer: B

Correct answer: 82

The steps run 5, 7, 17, 7, which grow and then fall back, so a single operation cannot account for them. Two operations are applied in turn, and continuing the alternation from 41 gives 82. As a check, the step from 41 to the answer is 41, which breaks the run of preceding gaps exactly as an alternating rule demands. An alternating series needs the position counted carefully, since the operation due next depends on how many steps have already been taken.

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