1. An old farming town loses 5% of its population each year. Its current population is 24,000 people. a)Find the population of the town for each of the next three years. b)Write a recursive formula for the population of the town. c)Find the population of the town after 8 years. d)Is there a faster, more efficient way to do question (c)?

2. A mosquito population in a laboratory is estimated at 500 individuals. The population declines by 85% everyday due to pesticides and natural causes. However, each day an additional 100 mosquitoes are hatched. a)Find the mosquito population in the lab for each of the next three days. b)Write a recursive formula for the mosquito population c)Find the mosquito population in the lab after 8 days. d)Is there a faster, more efficient way to do question (c)?

3. Patty Patriot wants to start saving towards buying a new car. She deposits $3,000 in a bank account that pays 1% compounded monthly. In addition, she deposits $150 each month. a)Find the balance in the account for the first four months. b)Write a recursive formula for the account balance. c)Find the account balance after one year. d)Is there a faster, more efficient way to do question (c)?