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This sequence has been cut off before its last term. Determine the relationship and select the number that follows.
4, 7, 14, 25, 40, ?

  • A.55
  • B.59
  • C.63
  • D.43

Answer: D

Correct answer: 59

The gaps are not equal: they run 3, 7, 11, 15, each 4 more than the last. The next gap must therefore be 19, and adding it to the final term, 40 plus 19 is 59. As a check, the gap between the answer and 40 is 19, which continues the run of gaps 3, 7, 11, 15 by a further 4. Every family in this topic can be identified from the terms alone; none requires information from outside the question.

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