Identify a numerical pattern and write a rule that matches it.
Extend a pattern and justify it
Problem
Extend the pattern \(2,~5,~8\) by \(\text{two}~\text{terms}\) and state the rule that generates each new term.
Big Picture
What this problem is really about
First identify the operation that carries each given term to the next, and confirm it works across both visible gaps. Apply that same operation once to the last given term and then again to the new term, because two extensions require two consecutive steps. Finally, check that the full sequence follows one unchanged rule.
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