Answer:
The arithmetic sequence is
24,500,23,000, 21,500,20,000,18,500,17,000
The car's value after five years is $17,000
Step-by-step explanation:
Let
n -----> the number of years
a(n) ----> the car's value
we know that
The arithmetic sequence that represent this situation is
a(n)=-1,500n+24,500
where
-1,500 is the common difference
so
For n=0 (initial value)
a(0)=-1,500(0)+24,500=24,500
For n=1 (First year)
a(1)=-1,500(1)+24,500=23,000
For n=2 (Second year)
a(2)=-1,500(2)+24,500=21.500
For n=3 (Third year)
a(3)=-1,500(3)+24,500=20,000
For n=4 (Fourth year)
a(4)=-1,500(4)+24,500=18,500
For n=5 (Fifth year)
a(5)=-1,500(5)+24,500=17,000
The arithmetic sequence is
24,500,23,000, 21,500,20,000,18,500,17,000
