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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.

How many line-segments are there in the 4th image of this growing tree sequence?

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How many line-segments are there in the 6th image of this growing tree sequence?

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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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How many tiny tiles are in the 3rd pattern in this sequence?

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