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Rules 1
Term and position: Position is an input, not a term value.
Generating terms: A recursive rule needs a starting term.
Arithmetic sequences: Difference gives the coefficient of n.
Rules 2
General linear rule: First term plus number of steps times difference.
Descending terms: Negative difference produces a decreasing linear sequence.
Membership: A term position must be an allowed integer.
Patterns 1
Geometric sequences: Constant ratio differs from constant difference.
Alternating patterns: Negative ratios can alternate signs.
Square and cube sequences: Nonlinear position rules have changing first differences.
Connections
Rules 1 → Patterns 1: Rules explain how patterns grow
