Dollar-cost averaging and harmonic mean : StockMarket

I don’t know if this is the right place to ask, but for those of you who are familiar with the mathematics behind Dollar Cost averaging probably know that the Harmonic mean has something to do with it. My question is; how do you prove that properly mathematicwise. After alot of browsing i only found this site which gave me a little bit more insight, but still i can’t figure it out.


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