Know what is meant by proof by Induction Learning Outcomes: PROOF

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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
Know what is meant by proof by Induction Learning Outcomes: PROOF BY INDUCTION Be able to use proof by induction to prove statements
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
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
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
Step 4: Conclusion x + 1 is a factor Unit 3 Page 141 Ex 3A.

Problem Set 1.2. #2-Induction Proof Case k=1 – Left side:Right side: Induction step: assume true for k. For k+1, – Left side: – Using – assumption: – - ppt download

Problem Set 1.2. #2-Induction Proof Case k=1 – Left side:Right side: Induction step: assume true for k. For k+1, – Left side: – Using – assumption: – - ppt download

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