• bizarroland
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    53 months ago

    It’s an interesting formula. Exponential and logarithmic I think?

    I’m not a super great at math terms person

    14k first week 42k the second 98k the third 210k 434k 882k 1778k…

    • FundMECFS
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      3 months ago

      EDIT: I’m stupid and did it with the fine squaring every week instead of doubling and I’m too lazy to recalculate so ignore this

      w1 = (100’000 x 7)2

      w2 = (100’000 x 7 + w1)2

      wn = (100’000 x 7 + wn-1)2

      It looks like it’s impossible to find a true function for wn that depens only on n.

      But we can approximate it with:

      w_n = C^(2^n) 
      

      where C is the money owed at the end of the first week.

      So the approximate formula for how much is owned at the end of the nth week is.

      w_n = (4.9 * 10^11)^(2^(n-1))
      

      where n is the number of weeks since the fine was issued.

      In truth wn will be larger than said number but it’s a decent lower bounds for approximation and it should be accurate to within around a couple percent.

      i did this calculation in rubles but you can just replace 100’000 by 1000 if you wish USD.

      • @[email protected]
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        3 months ago

        Shouldn’t it be

        w_n = 7 c + 2 w_{n-1}

        Twice the fine from last week plus c=100000 rubles for each of the seven dow. According to Wolfram alpha this refines to

        w(n) = 7 c · (2^n - 1)

        Anyways, it’s a funny formula.