Identify a numerical pattern and write a rule that matches it.
Classify the kind of pattern
Problem
Classify the pattern \(3,~6,~12,~24\) as additive or multiplicative and state its step-by-step rule.
Big Picture
What this problem is really about
Classification depends on what stays constant from one term to the next. Test an additive description by comparing adjacent differences, and test a multiplicative description by comparing adjacent factors or ratios; whichever pattern is truly constant must work across all three transitions. Checking every transition matters because the first jump alone can make an incorrect rule look plausible.
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