Acity has a population of 23,000 in the year 2014, 27,600 in the year 2015, 33,120 in the year 2016, and 39,744 in the year 2017. if the pattern continues, what will the population be in the year 2024,

a. 142,410
b. 170,892
c.83,345

A. 142,410

Step-by-step explanation:

For this purpose we have to find the pattern in previously given information

The given information is:

23000, 27600, 33120, 39744

The given sequence can be assumed as a geometric sequence

The common ratio is:

r = 27600/23000

r = 1.2

Hence the next term is obtained by multiplying with 1.2

So,

Population in:

2018 = 39744*1.2 = 47692.8

2019 = 47692.8 * 1.2 =57231.36

2020 = 57231.36*1.2 =68677.632

2021 =68677.632 * 1.2 = 82413.1584

2022= 82413.1584 * 1.2 =98895.79

2023= 98895.79 * 1.2 = 118674.948

2024 = 118674.948*1.2 = 142409.9376

Since the number of person/ population should be a whole number so,

The population in 2024 will be 142410

So, Option A is correct ..