Using MATLAB and incorporating its For and While Loop functions:

Pick up the pattern and write a script that helps you determine the limit of t_n as n gets large. For your information, the limit is an integer if m = 7, 13, 21, 31, or 43. Continue displaying this pattern until the difference between successive terms is less than 1times10^-12 in magnitude, i.e., |t_n - t_n-1|