Identify a numerical pattern and write a rule that matches it.
Choose a smart first move for finding a rule
Problem
Inputs \(1,~2,~3,~\text{and}~4\) map to \(5,~8,~11,~\text{and}~14\). Which check below reveals the pattern? Choose it, then derive the input-output rule.
A. Check output differences B. Test a constant ratio only C. Compare inputs only
Big Picture
What this problem is really about
Start by examining how the outputs change as the inputs advance in equal steps; that comparison tells you what kind of rule is plausible and supplies its variable rate. Then use one complete input–output pair to determine any constant term the rate alone cannot explain. Verify the resulting relationship on another pair before reporting the reasoning and rule.
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