Who is asking: Student
Question: Hello. I am stuck on the following question:
Suppose the population of a country increases at a steady rate of 3% a year. If the population is 50 million at a certain time, what will it be 25 years later? Define the recurrence relation that solves this problem.
I'm not even sure how to start off this problem and I am having trouble figuring out the recursive function for this problem. I would very much appreciate it if you could help me! Thank you!!Hi Gina,
= (1.03) x 50 million
At the end of the second year the population will be (1.03) x 50 million plus 3% of (1.03) x 50 million, that is
=[(1.03) x 50 million] x (1.03)
= (1.03)2 x 50 million
What will the population be at the end of the third year?