Discussion
The numbers below advance according to a pattern you are asked to identify. Find the rule and name the term that completes the run.
3, 18, 108, 648, ?
Answer: A
Correct answer: 3888
The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 18 over 3 is 6, and 108 over 18 is 6, so the ratio is 6. Multiplying the last term, 648 times 6 is 3888. As a check, dividing the answer by 6 returns 648, which is the last term shown. Series that grow slowly are usually additive and those that grow quickly usually multiplicative, which narrows the search at once.
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