Mathematicscalendar_todayLast updated: Apr 2026
What is Exponential Growth?
/ˌɛkspəˈnɛnʃəl ɡrəʊθ/
Exponential growth occurs when the rate of increase is proportional to the current value — meaning the bigger something gets, the faster it grows. Growth compounds on itself.
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Everyday Example
A single bacterium dividing every 20 minutes: after 1 hour there are 8, after 2 hours 64, after 10 hours over 1 billion. The numbers seem modest at first, then suddenly overwhelming.
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“COVID-19 spread exponentially in early 2020 — case counts doubling every few days. The reason lockdowns were imposed so early was to slow this compounding before hospitals were overwhelmed.”
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Did you know?
The human brain evolved to think linearly, not exponentially. Ray Kurzweil describes this as "the second half of the chessboard" — we consistently underestimate how quickly exponential growth takes off.
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Key Insight
Compound interest is exponential growth applied to money. Viral spread is exponential growth applied to ideas. Moore's Law describes exponential growth in computing. The same mathematics governs all of them.
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