- #1

jacksonpeeble

Gold Member

- 118

- 2

1. Place 42 pennies on the reactants side and 0 on the products side.

2. In the first round, move 1/3 of the pennies in the reactants pile to the products pile. At the same time, move 1/4 of the pennies from the products pile to the reactants pile.

*Note: Always round down to the nearest whole number, never up.*

3. Record data.

4. Repeat steps 2 and 3 until there are no further changes in the numbers of products and reactants.

Obviously, this is a fairly basic example. I got to thinking, however, that this should be relatively simple to model in a mathematical formula. So first (as I always try to do), I attempted to make a written table and reason it out.

P = {(0, 42), (1, 28), (2, 21), ...}

R = {(0, 0), (1,14), (2, 21), ...}

I just made it in a T-chart, but whatever. After I failed to reason it out, I plugged it into a table on my calculator (a TI-Nspire), and tried to regress it. Unfortunately, I don't know what type of regression this even requires.

This isn't something that I'm required to do, I'm just curious and think that I should be able to do it. Can anyone be of assistance? ;-)