Shahrukh,
The population at the beginning of the first year is 200 000 and it increases by 5% by the end of the year, thus the population at the end of the first year is
200 000 + 0.05 x 200 000 = 200 000 x (1.05)
Hence the population at the beginning of the second year is 200 000 x (1.05) and it increases by 5% by the end of the year, thus the population at the end of the second year is
[200 000 x (1.05)] + 0.05 x [200 000 x (1.05)] = [200 000 x (1.05)] x (1.05) = 200 000 x (1.05)2
What is the population at the end of the third year?
What is the population at the end of the tenth year?
Penny
