The population of a small town is decreasing exponentially at a rate of 14.3% each year. the current population is 9,400 people. the town's tax status will change once the population is below 6,000 people. create an inequality that can be used to determine after how many years, t, the towns taxes status will change.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

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