• It would be like removing a few grains of rice in the old chessboard story on each square.

    I really think you need to do some more research on what the term exponential growth really means.

  • So 1 million = "a few". Erm, m'kay.

  • Not sure your figures for your graph are correct.

    100 * (2^15) = 100 * (sqrt(2)^30) = 3,276,800

    A 28% reduction on the daily increase would reduce the daily multiplier from sqrt(2) = 1.4142 (4dp) to:-

    ((sqrt(2)-1)*0.72)+1 = 1.2982 (4dp)

    After 30 days those 100 cases would now be: 100*(1.2982^30) =~ 250,000

    But it only buys you 10 days as on day 40 the reduced rate has grown to 100*(1.2982^40) =~ 3.42m

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