You can model the population of a certain city between 1945-2000 by the radical function p(x)=55,000√x-1945. using this model in which year was the population of that city 165,000?

  In 1954 the population of the city became 165,000.

Step-by-step explanation:

Given : You can model the population of a certain city between 1945-2000 by the radical function

To find : Using this model in which year was the population of that city 165,000?

Solution : The model of the function is

where p(x) is the population and x is the time (in years)

To find the year in which population reach 165,000

p(x)= 165,000, substitute the value in p(x)

Squaring both side,

So, In 1954 the population of the city became 165,000.

i think asking google will you get the answer to that question

, 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