Question

Problem 2. or the discrete dynamical system (n+1)2(n) with a(0)0.2, plot the z(n) for n-0 to 10. Describe what happens to x(n) as n increases? What is the limit of x(n) as n gets large? Problem 3. For the discrete dynamical system n + 1)5+1 with (0) 1, plot the r(n) for n-0 to 10. Describe what happens to x(n) as n increases? What is the limit of x(n) as n gets large? Problem 4 If you charge a new laptop to your credit card which costs 1.000 dollars with an annual interest rate of 21% compounded monthly and you make a monthly payment of 100 dollars, the following equation allows you to calculate the amount that you owe after n months: a(n + 1)-(1 + 1200) a(n)-p where a(n) is the amount you owe in the nth month, r is the interest rate in percent (r-21 in this case) and p is the monthly payment. Plot a(n) for n-0 to 10. How m uch do you owe after 10 months?

Only Problem 2!!! MATLAB only and please comment as well. Received this problem for homework and am struggling!

Answer 1

%%%%matlab code

cla;

clear all;

close all;

x(1)=-0.2

For n= 1:9

x(n+1)= 2*x(n);

end

Figure ;

stem(0:9,x);

xlabel('n')

ylabel('x')

As n increase, value of x(n) also increase but in negative

Direction ...

D