A local factory shut down in 1990 the population of 35,000 in 1991 the population was 24,500 In 1992 it was 17,150 what is expected population in 1999

Answer: the expected population in 1999 is 1412

Step-by-step explanation:

The population is decreasing in geometric progression. This is true because there is a common ratio between consecutive years.

Common ratio = 24500/35000 = 17150/24500 = 0.7

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^ (n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 35000

r = 0.7

n = 10

The 9th term, T9 is

T9 = 35000 * 0.7^ (10 - 1)

T9 = 35000 * 0.7^9

T9 = 1412