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Published byJerome Simon Ball Modified over 9 years ago
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Drill #52 Graph the following equation by making a table, and plotting the points (Find at least 3 points): 1. y = ¼ x – 2 Find the x- and y- intercepts of the following equations: 2.x + 2y = 6 3.4x - 2y = 10 Graph the following equation by finding the x and y intercepts: 4. x – y = 2
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Drill #53 3-4 Skills Practice, #1-11 (ODD)
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3-4 Arithmetic Sequences Objective: To recognize arithmetic sequences and to extend and write formulas for arithmetic sequences. Open books to page 165.
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(1.) Sequence, (2.) terms, (3.) Arithmetic Sequence ** (1.) Sequence: A set of numbers (called terms) in a specific order. (2.) Terms: one of the numbers in a sequence (3.) Arithmetic Sequence: A sequence in which the difference between consecutive terms is constant
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Identify Arithmetic Sequences* Ex 1a, 1b: Ex 1A, 1B: Check your progress
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Writing Arithmetic Sequences* Each term in arithmetic sequence can be found by adding the common difference, d, to the preceding term. Ex 2: Ex2: Check your progress
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Finding the nth term* TermSymbolAlgebraic Expression Example 1 st term8 2 nd term8 + 1(3)=11 3 rd term8+2(3) = 14 4 th term8+3(3) = 17 ………… Nth term8+(n-1)(3)
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The nth term of an Arithmetic Sequence* The nth term of an arithmetic sequence with first term is given by: Where d is the common difference
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Real World Example* Ex 3a, b, c: Shipping Ex 3A, B, C: Check your progress
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Find the nth Term* Ex: 3-4 Study Guide, #13 Classwork: 3-4 Skill Practice #15, 17
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Critical Thinking! What if … The first term in arithmetic sequence is 4, and the 20 th term is 194. What is the 10 th term? Think… What formula should you use? What variables do you know?
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