Discussion
The series below can be extended once the rule behind it is found. Find the rule and name the term that completes the run.
8, 24, 72, 216, ?
Answer: C
Correct answer: 648
The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 24 over 8 is 3, and 72 over 24 is 3, so the ratio is 3. Multiplying the last term, 216 times 3 is 648. As a check, dividing the answer by 3 returns 216, which is the last term shown. A rule expressed in the position number can always be checked by substituting the position of a term already shown.
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