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The run below is governed by one rule from beginning to end. Establish what governs the terms and give the one that comes next.
2, 7, 16, 29, 46, ?

  • A.67
  • B.63
  • C.71
  • D.51

Answer: C

Correct answer: 67

The gaps are not equal: they run 5, 9, 13, 17, each 4 more than the last. The next gap must therefore be 21, and adding it to the final term, 46 plus 21 is 67. As a check, the gap between the answer and 46 is 21, which continues the run of gaps 5, 9, 13, 17 by a further 4. Writing the gaps under the terms converts an irregular series into a regular one, which is the standard technique for this family.

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