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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?
Look for the lowest integer in the statement being proven.
What does the inductive step involve?
Think of the chain reaction that follows the initial proof.
What is the first step in proof by induction?
Remember, it’s the initial integer being validated.
In induction, the inductive hypothesis refers to:
Focus on what you assume while proving.
Prove using regular induction that 2^n > n^3 for all n ≥ 10.
Express 2^(k + 1) in terms of 2^k.
Using strong induction, prove that every integer greater than or equal to 6 can be expressed as a sum of 3 and 4.
Use previous sums to build towards the next.
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