TS Sys Admin Pat is dealing with a computer virus outbreak. Pat estimates that every second at least 1 uninfected computer becomes infected for every 5 computers already infected on campus. To be exact there will be [C/5] newly infectedcomputers in the next second if there are currently C infected computers. Pat is ableto disinfect at most 10 computers per second. If Pat knows that there are at least 60 infected computers now, prove by induction that in n seconds there will be at least 10(6/5)^n + 50 infected computers.