Question

Week 31: Geometric Sequences and Exponential Functions

Question 10:10 pts
A computer is worth $3,200 when it is new. After each year it is worth half what it was the
previous year. What will its worth be after 4 years? Round your answer to the nearest
dollar.
O
$50
O
$100
O
$200
$400

Answer 1

$400.

Explanation:

This is a Geometric sequence with first term 3,200 and common ratio 1/2.

The nth term = a1 r^(n-1),

so the 4th term is 3200(1/2)^(4-1)

= 3200 * 1/8

= $400.