the population of city x is currently 1,000 people. each year, the population grows by 10%. plot the population trajectory for the next 15 years. use the geometric model of growth, i.e. nt+1 = λnt. in matlab

main.m
% Initial population
initial_population = 1000;

% Growth rate
growth_rate = 1.10;

% Number of years
years = 15;

% Initialize population array with initial population
population = zeros(1, years);
population(1) = initial_population;

% Calculate population for each year
for year = 2:years
    population(year) = growth_rate * population(year-1);
end

% Plot the population trajectory
figure;
plot(1:years, population, 'b-o');
xlabel('Year');
ylabel('Population');
title('Population Trajectory');
grid on;
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