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5 cards from this section. Quick, good the night before a test.
What is the base case in an induction proof?
Think about the starting point for proving a statement.
What is the inductive step?
How do we move from one integer to the next?
What is the first step in proof by induction?
Think about which step must occur before making assumptions.
True or False? Strong induction assumes that the property is true for the last case only.
Recall the assumption differences.
Using regular induction, prove that for every positive integer n, 1 + 2 + ... + n = n(n + 1)/2.
Set up the algebra for LHS and simplify.
Use strong induction to prove that any integer n >= 12 can be expressed as a sum of 4s and 5s.
Think about how to break down k + 1 into the earlier cases.
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