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## Finding the n th Term Mathematical Modeling

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**Essential Learnings**• Students will understand and be able to determine the function rule for a sequence. • Students will understand and be able to model mathematical problems.**Vocabulary**• Linear function – a function that creates a line when graphed. • Function rule – a rule that gives you the nth term in a sequence.**Example 1**Tell whether or not the rule is a linear function.**Example 2**Tell whether or not the rule is a linear function.**Example 3**Find the function rule for each sequence. Then find the 50th term in the sequence.**Example 4**Find the function rule for each sequence. Then find the 50th term in the sequence.**Example 5**Find the rule of the number of tiles in the nth figure. Then find the number of tiles in the 100th figure.**Rectangular Numbers**Rectangular numbers are numbers that can be arranged in a rectangular pattern of dots.**Triangular Numbers**Triangular numbers are numbers that can be arranged in a triangular pattern of dots.**Assignment**nth Term Worksheet Mathematical Modeling WS Quiz - Monday Unit 1 Test – Friday (9/23)