City Population: 2% Growth Over 100 Years
A city of 500,000 people growing at 2% per year would reach approximately 3.68 million after 100 years.
How to use this tool
- Enter initial population, annual growth rate and years in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your final population and the full breakdown beneath it.
See how a mid-sized city of 500,000 can grow to millions over a century at a steady 2% annual rate.
Frequently asked questions
- What is the difference between continuous and annual compounding?
- Continuous uses e^(rt); annual uses (1+r)^t. For small r they are close, but continuous growth is slightly faster and is the standard in population biology.
- Can growth rates be negative?
- Yes — a negative rate models population decline or any shrinking quantity.