Apartment blocks of (n) floors are to be painted blue and yellow, with the rule that no
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Apartment blocks of \(n\) floors are to be painted blue and yellow, with the rule that no two adjacent floors can be blue. (They can, however, be yellow.) Let \(a_{n}\) be the number of ways to paint a block with \(n\) floors.
Does the sequence \(a_{1}, a_{2}, a_{3}, \cdots\) form a Fibonacci sequence?
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This problem can be approached via combinatorial reasoning by looking at how you can paint the apartments following the given rule and building up seq...View the full answer
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