Discussion
A consistent rule produced every one of the numbers below. Find the rule and name the term that completes the run.
7, 21, 63, 189, ?
Answer: B
Correct answer: 567
The terms are multiplied rather than added to. Dividing each by its predecessor gives the same result throughout: 21 over 7 is 3, and 63 over 21 is 3, so the ratio is 3. Multiplying the last term, 189 times 3 is 567. As a check, dividing the answer by 3 returns 189, which is the last term shown. Patterns in the hundreds are no harder than patterns in single figures once the differences are written down.
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