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Smartboard: From Pattern to Rule

From Pattern to Rule

Year 6 Mathematics · Patterns & Relationships · WA6MNAP1

A growing matchstick pattern with a position-to-term table and the rule 3n plus 1. — Position 1 to 4 gives 4, 7, 10, 13 — the rule is 3n + 1.

Spot the step

How much is added each time? That number multiplies the position in the rule.

Test the rule

A good rule works for every term. Check 3n + 1 at position 4: 3×4 + 1 = 13. ✓

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