It is known that the number of fish in a given lake will decrease by 7% each year unless some new fish are added. At the end of each year, 250 new fish are added to the lake. At the start of 2018, there are 2500 fish in the lake.
Find the approximate number of fish in the lake at the start of 2042.
I attempted this question by calculating the common ratio = 2644.75/2575. I also calculated the number of years = 24.
I am stuck here. Any advise/comments on how to proceed would be appreciated.
Best Answer
Let the number of fishes in the lake at the start of year $2018+n$ be $a_n$. Given that $$a_0=2500$$ $$a_{n+1}=250+0.93(a_n)$$ Can you proceed now?