Suppose you buy the car of your dreams. Research the price of your car. At the end of n years, the value of your car is given by the sequence vn = (Dream car Price)(3/4)n, n = 1, 2, 3, . Describe the nth term of the sequence in terms of the value of your car at the end of each year.

The nth term of the sequence in terms of the value of your car at the end of each year is given by vn = (Dream car Price)(3/4)n, where n is equal to 1, 2, 3,… This equation represents the rate at which your car’s value decreases over time. It states, in detail, that your car’s value will reach 75% after one year. The amount will decrease to 56.25 percent after two years.

You can use this formula to determine the value of your vehicle after a certain number of years. Simply plug the above equation into it. If you purchased a car at $20 000, and you want to calculate its value after five years, then you can use this formula: v5= ($20 000) (3/4/5 = $9375.

The equation will also predict the future value of your car if you decide to trade it in or sell before depreciation reaches its maximum. Understanding that car values typically drop by around 25 percent per year will allow you to make more informed decisions in the future and potentially save some money. Understanding this mathematical formula is essential to accurately gauge true ownership costs, giving you a better chance of maximizing your return on investment.