Question

At the end of 2016 the population of a city was 200,000. At the end of 2018, the population was 264,500.
a. Assuming that these end of year figures follow a geometric sequence, find the population at the end of 2017.
b. Calculate the population at the end of 2020.
c. Comment on whether this increase will continue.

Answer 1

Step-by-step explanation:

the population of 2017 is the sum of the population of 2016 and 2018 by 2 then we will get 232250 that is population of 2017 and the population of 2020 is 264500+64500( 64500 is obtained by adding the yearly increased population of the two years) so the population of 2020 is 329000. pls follow for more

Answer 2

Answer:

At the end of 2016 the population of a city was 200,000. At the end of 2018, the population was 264,500.

a. Assuming that these end of year figures follow a geometric sequence, find the population at the end of 2017.

Answer:-  The population at the end of 2017 is 232,250

b. Calculate the population at the end of 2020.

Answer:- The population at the end of 2020 is 329,000.

c. Comment on whether this increase will continue

Answer:- The population will increasing continuously according to the information given above

Step-by-step explanation:

To find the population at the end of 2017

The population at the end of 2016 was 200,000 ,

the population at the end of 2018 was  264,500

it may be possible that the population increase equally every year

so we can take the average to get the  population of 2017 year

$\frac{200,000 + 264,500}{2}$ = 232,250

To calculate the population at the end of 2020.

as given in the question the population increase in 2 year from 2016 to 2018 is 64500

so to know the population at the end of 2020

as per the information given in question the population increase from from 2018 to 2020 is 264,500 + 64500 = 329,000.

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