Identify a numerical pattern and write a rule that matches it.
Generate examples from a rule
Problem
A pattern starts at \(2\) and adds \(5\) each time. Generate the first \(\text{four}~\text{terms}\), including the starting term.
Big Picture
What this problem is really about
The starting value already counts as the first requested term, so place it before applying the repeated change. Generate each later term from the most recently found term, keeping a count until the list contains four entries. A final check of every adjacent difference confirms that the rule was applied consistently and that no starting term was skipped.
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