This is a fixed-point iteration matlab code:

clear;clc;format ('long','g')

i=1;

x(i)=0;

error(i) = 9999;

while error(i) >= 0.05

x(i+1) = (0.2062129)*(20+(2*x(i)))^(2/5);

error(i+1)=abs((((x(i+1)-x(i))/(x(i+1)))*100));

i=i+1;

end

disp(' root error(%)');

disp([x',error'])

AND the solution

Can someone translate this into Mathematica code please? I need it to display the values the same way as listed above.

root error(%) 0.683483174832329 0.701799373609997 0.702280403674005 0.7022930300902 100 2.60989101250566 0.068495441634367 0.00179788430953184 root error(%) 0.683483174832329 0.701799373609997 0.702280403674005 0.7022930300902 100 2.60989101250566 0.068495441634367 0.00179788430953184