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3 cards from this section. Quick, good the night before a test.
What is induction used for in mathematics?
Think about generalizing properties.
State the two main components of proof by induction.
One proves the start and the other shows the next.
What is the first step in a proof by induction?
It's where you show the statement is true for the initial integer.
Is the inductive step required to use all previous cases?
Think about how much information you can use.
Formulate a proof using strong induction to show that every integer n ≥ 8 can be expressed as a sum of 3s and 5s.
Utilize previous integer sums effectively.
Research and present an application of induction in real-world computational algorithms and discuss its significance.
Focus on algorithm properties and how induction validates them.
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