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Know what is meant by proof by Induction Learning Outcomes: PROOF BY INDUCTION Be able to use proof by induction to prove statements

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De Moivre’s Theorem Prove by induction Step 1: Show true for n = 1 Step 2: Assume true for n = k Step 3: Prove true for n = k+1 Step 4: Conclusion

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STEPS PROOF BY INDUCTION Step 1: Show true for n = a (any suitable value) Step 2: Assume true for n = k Step 3: Prove true for n = k+1 Step 4: Conclusion

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Step 1: Show true for n = 1 Step 2: Assume true for n = k Step 3: Prove true for n = k+1 Step 4: Conclusion Example: Prove that is divisible by 3 :divisible be 3 Page 20 Ex 4 1,2,3,4,6a 8,9

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Step 1: Show true for n = 1 Example: Prove that Step 2: Assume true for n = k Step 3: Prove true for n = k+1 ???

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Step 3: Prove true for n = k+1 ???

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Example: Prove that Step 3: Prove true for n = k+1 ??? Step 4: Conclusion x + 1 is a factor Unit 3 Page 141 Ex 3A

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Honors Geometry Intro. to Deductive Reasoning. Reasoning based on observing patterns, as we did in the first section of Unit I, is called inductive reasoning.

Honors Geometry Intro. to Deductive Reasoning. Reasoning based on observing patterns, as we did in the first section of Unit I, is called inductive reasoning.

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