Botanists discover a new plant that lives for only one single year. It germinates in the spring, then in the summer generates 3 new seeds, before finally dying in the fall. Of the 3 seeds generated in the spring, 1 seed germinates the next year, while the other 2 seeds germinate 2 years later. In the year of discovery (call it year 0), botanists find 5 plants and the next year they find 7 plants. If fn can be recursively defined by fn=c₁fn-1+ C2fn-2 What is C1? What is C2?

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