How to plot recursive definition in Matlab/Simulink?
where n is 1 to 10
A(n)=1.03*A(n-1)-700;
B(n)=(B(n-1)+50)*1.03;
(n-1) being the previous term of n
is it possible to plot those recursive definitions as two lines on the same graph in Matlab?
if so how?
ANSWER
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Use a while loop and call functions for each. However, for this problem, consider using a for loop. It will be much more efficient since you can use the values immediately previous.
You will need to define A(1) and B(1). I’ll assume them to be 1 here.
nmx = 10;% Assuming A(1) and B(1) are 1, because they weren't otherwise defined.
A = ones(nmx,1);
B = ones(nmx,1);
for ix=2:nmx
A(ix) = 1.03*A(ix-1)-700;
B(ix) = 1.03*(B(ix-1)+50);
end% Call the recursive function for each value of n
Ar = ones(nmx,1);
Br = ones(nmx,1);
for ix=1:nmx
[Ar(ix)] = A_recurse(ix);
[Br(ix)] = B_recurse(ix);
endfigure(1)
plot(1:nmx,A,'p');
hold on
plot(1:nmx,B,'o');
plot(1:nmx,Ar,'s');
plot(1:nmx,Br,'x');
hold off
legend('A','B','Ar','Br');
function A = A_recurse(n)
if n == 1
A = 1;
else
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