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First off, I'd like you guys to take into consideration that I have no clue what I'm trying to do "mathematically speaking". I am here trying to find help with a function for my website where I sell intangible goods.

I am selling a limited number of products online and would like to increase the charge per item as the remaining number of products decreases. However, I do not want to keep a fixed rate across, as I dont want the final price to be over inflated. Therefore, I would like to increase the price in a descending pattern. Can you supply me with a function for this?

Thanks!

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    It sounds to me like what you really want is a [monotonic](http://en.wikipedia.org/wiki/Monotonic_function) function $f$ mapping the number of items to the price of each item, such that $f(1,\!000,\!000) = 1,\!000$, and $f(1)$ is higher than $1,\!000$ but not "too high" in some way that you haven't specified. Is that right?2012-01-29

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My suggestion would be use a Geometric series which limit is bounded.

another example is: increase = $ \frac{1}{k!}$

set variable k = amount left of the item

$ Price_{k-1} = Price_{k} + increase_{k}$

this way the Price of the item will increase by a fraction each time.

the limit of the series used for the variable increase is e.

That should keep the price from being over inflated, you are just summing backwards of the series.