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Practice

Test a proposed pattern rule

Order a sound workflow for solving a short sequence.

Reproducible reasoning loop

Inspect, propose, test, then extend

  1. InspectCompare adjacent terms.
  2. ProposeState one precise rule.
  3. TestCheck every transition.
  4. ExtendApply the tested rule once.

Writing the steps prevents a plausible first impression from becoming an unchecked conclusion.

Arrange in the correct order
  1. 1. Use it to produce the next term
  2. 2. Test it against every shown transition
  3. 3. Propose the simplest consistent rule
  4. 4. Inspect changes between terms