MathLiveExponential growth formula
Gives the amount of a quantity after t periods when it grows by a fixed fraction r each period starting from x_0. A negative r describes geometric decay.
x_t = x_0(1+r)^tWhat the symbols mean
| quantity after t periods | |
| initial quantity at time zero | |
| growth rate per period, as a fraction | |
| number of periods elapsed |
About this formula
- FieldMathematics
- TopicExponential and geometric growth
- LevelHigh school
- Also calledexponential growth, geometric growth, geometric decay, compound growth formula, discrete exponential growth, compound interest formula
- SourceWikidata Q582659
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