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4 cards from this section. Quick, good the night before a test.
What is the purpose of the base case in proof by induction?
Think about where the induction starts.
What is the inductive step in induction?
What transition do we make from k to k+1?
What is the first step in a proof by induction?
What step do we always begin with in the induction framework?
True or False: Strong induction requires proving the property for all preceding integers.
What makes it 'strong' compared to regular induction?
Prove by induction that for all integers n, 3^n > n^3 for n >= 3.
Use properties of exponential functions and inequalities.
Show using strong induction that every integer greater than 1 can be expressed as a product of prime numbers.
Consider prime factorization and how primes build numbers.
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