Discussion
The series below can be extended once the rule behind it is found. Establish what governs the terms and give the one that comes next.
3, 60, 10, 54, 17, 48, ?
Answer: C
Correct answer: 24
Two series have been laid down alternately. The terms in the odd positions are 3, 10, 17, which rise steadily, and those in the even positions are 60, 54, 48, which fall. The missing term continues the first of these, giving 24. As a check, the answer differs from the term two places before it by 7, which is the step that strand has taken throughout. Two strands moving in opposite directions will eventually cross, which limits how long such a series can be extended.
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