Exponential Decay
applied
A geometric sequence and exponential decay are closely related
Introduction
Here’s an experiment: Roll 100 dice on mathigon.org, every time there is a 6, remove the dice and roll the remaining dice. Repeat this until there are no more dice remaining. Explore this scenario and experiment with different ways to fit an exponential curve to the data.
Guiding Questions
- What mathematical models apply to this situation?
- What data do you need to collect and how will you analyze it?
- What assumptions are you making in your mathematical model?
- How can you validate your mathematical conclusions?
- What are the limitations of your approach?
Key Mathematical Concepts
Decay
Calculus
Decay Modeling
Exponential Functions