80. You buy a new car for $24,000. At the end of n years, the value of your car is given by the sequence: an=24000(3/4)n, n=1, 2, 3, ... Find a5 and write a sentence explaining what this value represents. Describe the nth term of the sequence in terms of the value of the car at the end of each year.

The value at the end of the fifth year (a5) is equal to $5,696.

As the number of years n is the exponent of a number that is smaller than 1, the value of the car is decreasing with the years.

We also can conclude that the value of the car decreases 25% each year.

Step-by-step explanation:

The value of the car is represented by an=24000(3/4)^n, where n is the year.

The value at the end of the fifth year (a5) is equal to:

As the number of years n is the exponent of a number that is smaller than 1, the value of the car is decreasing with the years.

We also can conclude that the value of the car decreases 25% each year:

step-by-step explanation: 4 cause 2+2=4