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5 cards from this section. Quick, good the night before a test.
What is the base case in proof by induction?
Think of the first value where the property must hold true.
What must be proven in the inductive step?
Consider what happens when you move to the next number.
What is the first step in proof by induction?
It is what sets the stage for the entire induction.
Is strong induction different from regular induction?
Think about how many cases can be assumed.
Prove using induction that for all n >= 1, the sum of the first n integers is equal to n(n + 1)/2.
Think about how you can break down the sum at k + 1.
Show that every integer greater than or equal to 40 can be represented as a sum of 4’s and 5’s using strong induction.
Focus on how the numbers can be formed by combining earlier proven cases.
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