How can I create a loop to show a table with number of iterations and its roots in secant method?

I tried modifying the for loop command to create iterations but as soon as I run it, the code doesn't show any list of iterations and its roots. Can someone help me how can I show a table like list of iterations and roots of the function with this code?

My code only shows the root and how many iteration it used

clc
f=@(x) e^(0.5*x)+(5*x);
x(1)=0.8;
x(2)=0.7;
tol=0.002;
i=0;
iteration=0;

for i=3:1000
   x(i) = x(i-1) - (f(x(i-1)))*((x(i-1) - x(i-2))/(f(x(i-1)) - f(x(i-2))));
   a_e = abs((x(i)-x(i-1))/x(i))*100;
   iteration=iteration+1;
    if a_e<tol
        root=x(i)
        iteration=iteration


        break
     fprintf('%d    %d      %d\tol', i, x(i), a_e)
    end
end

Answer 1

[Alan Stevens]

Possibly like this (though using a while loop would be better):

f=@(x) exp(0.5*x)+(5*x);
x(1)=0.8;
x(2)=0.7;
tol=0.0001;


for i=3:1000
   x(i) = x(i-1) - (f(x(i-1)))*((x(i-1) - x(i-2))/(f(x(i-1)) - f(x(i-2))));
   a_e = abs((x(i)-x(i-1))/x(i))*100;
   iteration(i-2)=i-2;
    if a_e<tol
        root=x(i);
    break
    
    end
     fprintf('%d    %f      %f \n', i-2, x(i), a_e)
end

1    -0.158840      540.695015 
2    -0.182052      12.750391 
3    -0.182553      0.274115 
4    -0.182553      0.000136 

[Ja]

Thanks a lot!!!