Question

3. A computer is worth $4000 when it is new. After each year it is worth half what it was the previous year

What will its worth be after 3 years? Round your answer to the nearest dollar​

Answer 1

*I know it's already been answered, but I just wanted to add a different version of the steps. While this particular question could be answered in like 3 seconds, this method is a lot quicker when they want you to find 30th term lol

Answer:

500

Explanation:

First, set up your equation:

an = a1 * r ^ (n-1)

a1 is 2000, because it is the first term (4000 is the 0th term).

4000*(1/2)=2000.

an = 2000 * (1/2) ^ (n-1)

Now, subsitute n for 3:

a3 = 2000 * (1/2) ^ (3-1)

Solve:

a3 = 2000 * (1/2) ^ 2

a3 = 2000 * 0.25

a3 = 500

Answer 2

Answer is 500

btw did round sorry

Explanation:

First year

4,000 divided by 2,000=2,000

Second year

2,000 divided by 2=1,000

Third year

1,000 divided by 2=500