Answer:
The population after 50 years will be 1850.
Step-by-step explanation:
We are given the following in the question:
[tex]P_n =P_{n-1} + 35[/tex]
which is the recursive rule for a population.
Initial population = 100
[tex]P_0 = 100[/tex]
The explicit form of given recursive relation can be written as:
[tex]P_n = 100 + 35n[/tex]
We have to find the population after 50 years.
We put n = 50 in the explicit form.
[tex]P_{50} = 100 + 35(50) = 1850[/tex]
Thus, the population after 50 years will be 1850.
