## Description

- Suppose you buy a new car for
$18,000. At the end of
*n*years, the value of your car is given by the sequence*v*= 18000(3/4)^n,_{n}*n*= 1, 2, 3, …..Find the fifth term and explain what this value represents. Describe the*n*th term of the sequence in terms of the value of your car at the end of each year.

## Explanation & Answer

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**vn = 18000(3/4)^n**

v5 = 18000(3/4)^5

v5 = 18000(3/4)^5

**v5 = 4271.48 (the value of the car at the end of the 5th year)
**