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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. 1, how many plants will there be in year 2? 2, assume that f is the recurrence relation for the number of plants in the year n What is fo? What is f₁?

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. 1, how many plants will there be in year 2? 2, assume that f is the recurrence relation for the number of plants in the year n What is fo? What is f₁?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 1, how many plants will there be in year 2? 2, assume that fe is the recurrence relation for the number of plants in the year n What is fo? What is f₁?
Transcribed Image Text: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. 1, how many plants will there be in year 2? 2, assume that fe is the recurrence relation for the number of plants in the year n What is fo? What is f₁?
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