Solve the Problem $a _ { n } = 100,000 ( 0.83 ) ^ { n - 1 }$

Multiple Choice

Solve the problem.
-A farmer depreciates a $100,000 tractor. He estimates that the resale value of the tractor n years after purchase is 83% of its value from the previous year.
a. Write a formula for the nth term of a sequence that represents the resale value of the tractor n years After purchase.
b. What will the resale value be after 7 years? Round to the nearest $1000.

A) a. $a _ { n } = 100,000 ( 0.83 ) ^ { n - 1 }$
b. $\$ 27,000$
B) a. $a _ { n } = 100,000 ( 0.83 ) ^ { n - 1 }$
b. $\$ 33,000$
C) a. $a _ { n } = 100,000 ( 0.83 ) ^ { n }$
b. $\$ 27,000$
D) a. $a _ { n } = 100,000 ( 83 ) ^ { n }$
b. $\$ 33,000$