A root sequence is a series of positive numbers for obeying the following rule: where fn-1 is the number before fn. fn=1+ -1 (1) Write two Python scripts, one with for loop and the other with while loop, to generate 10 numbers in a root sequence, starting with fo=1. (2) Write a script that allow users (you and others using the script) to give an input for fo. (3) Write a script that randomly generate a positive number as the input for fo. (4) Does the sequence converge to different values for different starting fo?