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2 cards from this section. Quick, good the night before a test.
What is the total number of bit strings of length 1?
Think of all possible combinations of 0s and 1s.
Provide the valid strings of length 2 without '000'.
List all combinations of 2 bits.
What is B(n)?
Consider what B(n) represents in our earlier explanations.
How many bits strings of length 3 are valid for A(3)?
Count the valid strings without the substring '000'.
Determine the number of valid bit strings of length 6 without the substring '000'.
Ensure you use A(3), A(4), and A(5) correctly.
If n grows larger, what would be the limiting behavior of the ratio B(n)/A(n)? Explain.
Think about the overall growth patterns of Fibbonaci-like sequences.
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