Suppose you purchase a car for $24,500, and it depreciates at the rate of $1500 a year. express the car's value after five years as a term in an arithmetic sequence.

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

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled