One person owns 7000 trees, and plans to sell 12% of his tree's and plant 600 new ones every year. Will he run out of tree's?(Write a recursive formula that can be used to solve the equation)
no he will not run out of trees rather he will keep selling only 5000 because 12% of 5000 is 600 so he sells 600 trees and he has 4400 and he plants 600 more and it becomes 5000 well basically it keeps goin on, i think the question is related to limits and this could be the formula where x is the number of trees and not the number of years
If is a number of trees the guy has after years, then the initial condition of the recursive formula is
and we can see that
or
For year n we then have
This is your recursive formula.
To find out whether he will run out of trees solve this relation and take it's limit when n approaches infinity.
Update:
Made some corrections in the formula.