Suppose that a neighboring island is also experiencing popul

Suppose that a neighboring island is also experiencing population growth. In Year 0, this island had a population of 1,000 and the population has since increased at a rate of 6% per year, a. Express the island population in year n (P_n) as a geometric sequence.

Solution

In year zero ======> P0 = 1000

In year one ======> P1 = 1000 + 1000*0.06 = 1060

In year two ======> P1 = 1060 + 60 = 1120...

Thus the sequence is 1000, 1060, 1120, ...............

Here Po = 1000 and d = 60

Then Pn = Po + (n - 1)*d = 1000 + (n - 1)*60 = 940 + 60*n