The population of a certain Barangay which increases by 10% each year is now 200,000. What will be the expected population in five years (to the nearest 100 people?)
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The population of a certain Barangay which increases by 10% each year is now 200,000. What will be the expected population in five years (to the nearest 100 people?)
Since the population increases at a fixed rate (in percent), we model this using a geometric sequence with the first term (a) = 200,000, and the common ratio (r) = 1.1. [since the rate increases by 10%
]
The nth term of a GP is given by
. The expected population in 5 years is the 6th term of the GP. [
the first term is the population now, the second term is the population in 1 year, the 3rd term is the population in 2 years, and so on]
Thus,
to the nearest 100 people.