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Re:Ask HN: A noob question about exponential growth by jjgreen on Friday July 01, 2022 @04:54AM (#31943937)
Worse than that, it could be bounded above. If your day's value is 1 - 1 / n (where n is the number of the day in your life) then every day is above the average of the previous days (since bigger than the largest, yesterday) but will never be bigger than 1.
Re:Ask HN: A noob question about exponential growth by EUV071STR48 on Friday July 01, 2022 @05:31AM (#31944170)
Thanks, that's about what I suspected right after posting ('something like log-function'). But does it have to be?

The more I think about it, there's quite a wide range of data sets I can create from my initial rule. The daily increase is not limited, so it should be possible to create almost every kind of graph, as long as it increases. Truely a noob question I came up with, if I don't overlook something again...

Re:Ask HN: A noob question about exponential growth by junkerm on Friday July 01, 2022 @05:25AM (#31944128)
It could be even constant except for day 0. value = 0 for day 0, value=1 for all other days.