How to write a loop to make this equation works?

For the basic simulator, there are three key concepts: o inf: the number of infected persons. Note that in this lab, we will just compute the total number of infections over time and will not track recoveries. o duration: the total time span of the simulation in days. o beta: the infection rate. More specifically, each infected person infects beta people per unit time (day), i.e., at particular time, new_infected = beta * inf. Take the first sample output as an example: o If there are 100 infected persons at the beginning and beta is 0.1, then the number of newly infected persons on the first day is 100 * 0.1 = 10 and the total number of infected persons after that day is 100 + 10 = 110. o On the second day, the initial number of infected persons is 110, so the number of newly infected persons is 110 * 0.1 = 11. The total number of infected persons after that day is 110 + 11 = 121