A city's population has grown by 1,000 people in the last 2 years. On average, how many people will the city grow by in 6 years?

To find the average population growth over 6 years, you need to divide the total population growth by the number of years. In this case, the city has grown by 1,000 people in 2 years.

Step 1: Calculate the average growth per year:
Average growth per year = Total growth / Number of years

In this case:
Average growth per year = 1,000 people / 2 years

Step 2: Multiply the average growth per year by the number of years you want to calculate for (6 years):
Average growth in 6 years = Average growth per year * Number of years

In this case:
Average growth in 6 years = (1,000 people / 2 years) * 6 years

Step 3: Calculate the result:
Average growth in 6 years = 1,000 people * 3

Therefore, the city will grow by an average of 3,000 people in 6 years.

To find the average growth rate of the city's population over 6 years based on the information given, we can use some basic math.

Step 1: Determine the annual growth rate
To find the average growth rate per year, we divide the total growth over the 2 years (1,000 people) by the number of years (2 years).
Annual Growth Rate = Total Growth / Number of Years
Annual Growth Rate = 1,000 / 2
Annual Growth Rate = 500

Step 2: Calculate the total growth over 6 years
To find the total growth over 6 years, we multiply the annual growth rate by the number of years.
Total Growth = Annual Growth Rate * Number of Years
Total Growth = 500 * 6
Total Growth = 3,000

Therefore, on average, the city would grow by 3,000 people over a 6-year period.

If the city's population has grown by 1,000 people in the last 2 years, then the average growth rate per year is 1000/2 = <<1000/2=500>>500 people/year.

Therefore, in 6 years, the city will grow by 500*6 = <<500*6=3000>>3000 people. Answer: \boxed{3000}.