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A deeper understanding develops when a pattern is generalized algebraically. While applying rules and formulas may be useful, you attain a much deeper level of conceptual understanding when developing rules and formulas. After the rule is developed, then a functions (f(X)) is developed and from there a line with a continuous set of points.

When you generalise algebraically, you are essentially classifying and defining the relationship between each number/set in the pattern or even determining if there is a relationship to begin with.

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13y ago

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