Question: 3. Strong Induction (4 points) Let P(n) denote n-2a + 5b (for some a ? N and some b ? {0, 1}) Prove that P(n)

3. Strong Induction (4 points) Let P(n) denote n-2a + 5b

3. Strong Induction (4 points) Let P(n) denote n-2a + 5b (for some a ? N and some b ? {0, 1}) Prove that P(n) is true for n 2 5 using strong induction 1) Show that P(5), P(6), and P(7) are true, which com- pletes the base case. a) P(5) b) P(6) c) P(7): 2) Inductive Step: a) What is your inductive hypothesis? b) What are you trying to prove? c) Complete the proof

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