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Homework Statement
In a model for the growth of a population,[itex]p_n[/itex] is the number of individuals in the population at the end of n years. Initially, the population consists of 1000 individuals.
In each year, the population increases by 20% and on Dec.31st, 100 individuals leave the population.
a)Calculate [itex]p_1 \ and \ p_2[/itex]
b)Write down an equation connecting [itex]p_{n+1} \ and \ p_n[/itex]
Homework Equations
None
The Attempt at a Solution
Well at the initial time. p=1000
so at the end of the first year it would just be 1000-100
so that [itex]p_1=900[/itex]
At the start of the next year the new population size is [itex]\frac{120}{100}*900=1080[/itex]
so then simply [itex]p_2=1080-100=980[/itex]
are these values correct?
If my answers are correct, then for part b) should it just simply be
[tex]p_{n+1}=(1.2*p_n)-100[/tex]