In the year 2016, the population of Johns Creek was 85,000. Statistics show that the population is increasing at a rate such that k = .0814 a year. If the formula is true, how many years would it take for the population of Johns Creek reach 150,000?

one that is bigger than 3 1/2

, 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

3

step-by-step explanation: