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The Fibonacci sequence is not the only one that is defined recursively. Learn how to solve combinatorics problems with recursion, and how to turn recurrence relations into closed-form expressions.

Using 1'' x 2'' dominoes, there's one way to tile a 1'' x 2'' area, 2 ways to tile a 2'' x 2'' area, and 3 ways to tile a 3'' x 2'' area.

How many ways are there to tile a 4'' x 2'' area?

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What relationship describes the number of mosaic squares in each image compared to the number of squares in the previous image?

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Which of the following expresses the correct formula for the number of unit squares with exactly 1 red side in an \( n \times n \) square with \( n \geq 2 \) ?

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Bombus the BumbleBee wants to get to the cell containing honey.

Each time, he can only take a step to a neighboring cell, that moves him to the right.

How many ways does he have of reaching the honey in the last cell?

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