Question

Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the population. What will the maximum population be 5 year from now?

Answer 1

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.

What will the maximum population be 5 year from now?

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,

• a = 49,000,

• n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5         ⇒ n = 11g

• d = 580

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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