An infectious disease has a reproductive ratio R0 =2.9. Infectious individuals remain contagious for a week, during which they infect 2.9 individuals on average. Assume that in a large community, 2.9 individuals have the disease in the first round of infections. If all individuals can move freely and no restrictions or health measures are implemented in the population: Derive the generic formula that shows the number of individuals that will be newly infected in round n Determine how many individuals will have been infected, in total, after the 25th round of infections. Assume that, by successfully implementing a vaccination policy, the rate of infection could have been reduced by 48%. How many individuals would have been infected, in total after round 25 with a successful vaccination policy? Compare this result with your answer in part 2.