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Visual representation of growing patterns with algebraic expressions and corresponding term values.

Three pattern sequences with algebraic expressions and term value tables showing how each pattern grows by adding a fixed number of units per term.

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Show Answer Key & Explanations Step-by-step solution for: Patterning and Algebra: Creating Algebraic Expressions From Models

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- The first pattern starts at 5 and adds 4 each time, resulting in the algebraic expression 4n + 1. For the 30th term, substituting n = 30 gives 4(30) + 1 = 121.
- The second pattern starts at 3 and adds 3 each time, resulting in the algebraic expression 3n. For the 40th term, substituting n = 40 gives 3(40) = 120.
- The third pattern starts at 6 and adds 4 each time, resulting in the algebraic expression 4n + 2. For the 40th term, substituting n = 40 gives 4(40) + 2 = 162.

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