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7.3.1 Proof by Induction.notebook 1 May 28, 2019 Homework ?'s 7

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Page 1: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

1

May 28, 2019

Homework ?'s 7

Page 2: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

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May 28, 2019

§7.3.1: Proof by Induction

WS: 7.3.1 (Due Thur)(Section D, skip everything)

ISN: YesPre­Calculus 05/28/2019

TEST on 05/31/2019I will...     ...use my prior knowledge in new situations

Page 3: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

3

May 28, 2019

p258

Page 4: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

4

May 28, 2019

p259

Page 5: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

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May 28, 2019

p260

Page 6: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

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May 28, 2019

Four Pillars of Mathematical Inductionp142: Mathematical Induction

1.

2.

3.

4.

State the formula works up to a certain value

Use the recursive formula to find the next value

Prove formula also works for finding the next value

Show the formula works for the initial value (base)

Why does the induction proof work?

Page 7: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

7

May 28, 2019

p261

Page 8: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

8

May 28, 2019

Page 9: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

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May 28, 2019

p262 1.

=2. & 3.

Page 10: 7.3.1 Proof by Induction.notebookMay 07, 2019  · 7.3.1 Proof by Induction.notebook 9 May 28, 2019 p262 1. 2. & 3. = 7.3.1 Proof by Induction.notebook 10 May 28, 2019 4. D. org. 3

7.3.1 Proof by Induction.notebook

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May 28, 2019

4.