5. a) A bacterial colony quadruples every one hour. Initially, the colony has 3 bacteria. Write a recurrence relation that describes the number of bacteria in the colony after n hours. Solve it iteratively and find a formula for the number of bacteria after n hours. How many bacteria will be in the colony after one day. Explain the recurrence relation. b) An employee joins a company with starting salary 50000. Every year, his salary increases by 4% of previous year salary and by bonus 2000. Write a recurrence relation that describes his salary after n years. Do not relation. solve the recurrence. Explain the recurrence