Recognize sequences, including recursive sequences, as functions whose domains are subsets of integers.
Detect an invalid sequence-function representation
Problem
Analyze the proposed sequence relation \({(1,~4),~(2,~7),~(2,~9),~(3,~12)}\). Identify the error and a witness, state the function verdict, and give a correction.
Big Picture
What this problem is really about
Read every ordered pair as a term-number input followed by its sequence output. We’ll group pairs with the same first coordinate and look for one input assigned different second coordinates; that is the decisive function conflict. A minimal repair must remove the conflict while preserving one output for each remaining input.
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