The bacteria population in Colony A grows according to the recursive formula. The table shows the bacteria population of Colony B at different points in time. The initial population for Colony B is less than the population of Colony A. Will Colony B always be the smaller colony? Justify your reasoning.a? = 20000a? = 1.1a?-?Time Colony BInitial 1000After 1 hour 1200After 2 hours 1440After 3 hours 1728