Question

HURRY! The table shows the value of printing equipment for 3 years after it is purchased. The values form a geometric sequence. How much will the equipment be worth after 7 years?

Geometric sequence: a_n=〖a_1 r〗^(n-1)


Year Value $

1 $12,000

2 $9,600

3 $7,680

Answer 1

Find the common ratio, r, of the sequence

12 000 * r = 9600

r = 9600/12000 = 0.8

12000 ( 0.8)^6 = $ 3145.73 in year 7 ( I used '6' instead of '7' because 12 000 is listed as year '1' and not year '0' )