Science:Math Exam Resources/Courses/MATH103/April 2016/Question 06 (b) (i)
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Question 06 (b) (i) 

An animal population in appropriate units after years, , satisfies the recurrence relation and starts with an initial population That is, the sequence is defined by iterating the map (i) Find the population after one year. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

To find the population after one year, , plug into the given recurrence relation. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The population after one year is simply We use the recurrence relation (with ) and the fact that to get 