What Is Exponential Growth?
Linear growth adds the same amount each step; exponential growth multiplies by the same factor.
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1.What is exponential growth?
Linear growth adds the same amount each step; exponential growth multiplies by the same factor.
2.Doubling from one grain, how many grains are on square 10?
After ten squares the linear board has 19 grains on its last square, the doubling board 512.
3.How many grains are on square 20 of the doubling board?
More than half a million, and we are not even a third of the way through the board.
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Sources (5)
- United Nations: Day of Eight Billion
- United Nations: Global Issues, Population
- U.S. Census Bureau: Historical Estimates of World Population
- Eigene Berechnung (Verdopplungszeit, Wachstumsfaktor)
- Eigene Berechnung (Python)
Education only. Not financial advice.