Discussion
The terms below were produced by applying the same operation repeatedly. Establish what governs the terms and give the one that comes next.
10, 13, 18, 25, 34, 45, ?
Answer: A
Correct answer: 58
The gaps are not equal: they run 3, 5, 7, 9, 11, each 2 more than the last. The next gap must therefore be 13, and adding it to the final term, 45 plus 13 is 58. As a check, the gap between the answer and 45 is 13, which continues the run of gaps 3, 5, 7, 9, 11 by a further 2. Extending the row of differences by one entry and adding it to the last term is all that this family requires.
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