Free practice · single-choice · medium
Practice
Find the transition that disproves a rule
A learner proposes 'add 3 each time' for 4, 7, 10, 14. Which transition is the counterexample?
Counterexample check
One failed transition rejects the proposed +3 rule
Proposed ruleAdd 3 to the previous term
- 4→+3→7Fits
- 7→+3→10Fits
- 10→+3→14Counterexample
Conclusion10 → 14 adds 4, so the proposed rule does not fit the full sequence.
Do not average away a contradiction. A universal pattern rule must fit every transition in scope.