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THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review

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Chapter 13 Previous Lesson Materials

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What was Chapter 13 about? Sequences Arithmetic Geometric Recursive Series Finite Arithmetic Finite Geometric Infinite Geometric Sigma Notation

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Sequences - Arithmetic

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Arithmetic Sequence- Example Write a rule for the nth term of the arithmetic sequence: a 5 = 18, a 17 = 66 a n = 4n – 2

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Sequences - Geometric

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Geometric Sequence- Example Write a rule for the nth term of the geometric sequence: a 2 = 6, a 5 = 162

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Sequences - Recursive

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Recursive Sequence- Example Write a recursive definition for the following sequences: a) 9, 13, 17, 21, …b) 1, 3, 7, 13, 21, 31, … a) t n = t n-1 + 4b) t n = t n-1 + 2(n-1)

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Series – Finite Arithmetic

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Series – Finite Geometric

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Finite Series- Example #1 Find the sum of the first 15 terms of the geometric series: 5 – 15 + 45 – 135 + … S 15 = 179, 936, 135

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Finite Series- Example #2 Find n if S n = -10,602 for the arithmetic series 12 + 6 + 0 + … n = 62

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Series – Infinite Geometric

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Infinite Series- Example Determine if the following infinite series diverges or converges. If it converges, state the sum. a) Diverges b) S = 2 a) b)

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Series – Sigma Notation

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Sigma Notation- Example What is the summation notation for the series 2 + 4 + 8 + 16?

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