Exponential Growth Calculator
Enter a starting amount, growth rate, and number of periods below to instantly get the final amount.
Final Amount
1628.89
Growth factor: 1.6289×
The Exponential Growth Formula
A = P(1 + r)ᵗ
Worked example
$1,000 growing at 5% per period, for 10 periods.
A = 1000 × (1.05)¹⁰ = 1000 × 1.6289
Final amount ≈ $1,628.89
Frequently Asked Questions
What is the exponential growth formula?
A = P(1 + r)ᵗ, where P is the starting amount, r is the growth rate per period (as a decimal), and t is the number of periods.
How do you model decay instead of growth?
Use a negative rate. The same formula A = P(1 + r)ᵗ works for decay when r is negative — for example, r = −0.1 for 10% decay per period.
What's a real example of exponential growth?
Compound interest, population growth, and viral spread all follow this pattern — the amount added each period grows because it's a percentage of an already-larger total.
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