Question

The population of a village is 5000. It is increasing at the rate of 10% each year. At the end of 3 years, 1155 people migrate from the village. The net increase in population at the end of 3 years is:

Answer 1

500 is not constant @TheViper

Answer 2

omg right

Answer 3

1year=5000+500=5500
2year=5500+550=6050
3year=6050+605=??

Answer 4

hmm....you actually use geometric sequence here

\[\Large a_n = a_1r^{n-1}\]
where a_n will be the population after 3 years <--what you're looking for
a_1 will be 5000 because that's the starting population.
r will be 1.10 because it increases by 10% each year so 1 + 0.10 = 1.10
n will be 3 because you're looking for 3 years
\[\Large \implies a_n = (5000)(1.10)^{3-1}\]
tehn to get the final answer just subtract 1155

\[\Large \implies (5,000)(1.10)^{3-1} - 1,155\]

Answer 5

i wonder where @selvi is