The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.
<h3>What will the maximum population be 5 year from now?</h3>
Formula of arithmetic progression is given by,
⇒ aₙ = a + (n - 1)d
where aₙ = nth term, a = first term, d = common difference
Here in the question it is given that,
- Five years ago, the population of a city was 49,000
- Each year the zoning commission permits an increase of 580 in the population
We have to find out the maximum population in 5 year from now.
By using the formula of arithmetic progression we get,
aₙ = a + (n - 1)d,
here in the question,
- n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5 ⇒ n = 11g
Now we get,
⇒ aₙ = a + (n - 1)d
⇒ aₙ = 49000 + (11 - 1)580
⇒ aₙ = 49000 + (10)580
⇒ aₙ = 49000 + 5800
⇒ aₙ = 54,800
Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.
Learn more about arithmetic progression here:
brainly.com/question/16954227
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