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Happy Skynet day to those who celebrate
(lemmy.ml)
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this post was submitted on 30 Aug 2025
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Yeah, that's basically how I remember it, though it's not always stats--the terms are used in other fields of math as well. A first calculus class typically includes a proof that the limit of the sum of an infinite geometric series (a + ar + ar^2 + ar^3 + ...) tends towards a/(1-r) where a is the first term and r is the ratio of successive terms, provided that -1 < r < 1. (Otherwise the series diverges and the limit isn't defined.)
Absolutely! I vaguely remember a discussion of geometric growth in at least one other course, but I was doing my best to give a thorough layperson’s explanation without getting into more analytic definitions for geometric series or the concept of continuity. I studied abstract/theoretical mathematics in my undergraduate degree, so I only really remember seeing geometric growth defined in statistics courses as far as applied mathematics goes as I avoided those courses where I could. I’m not in academia, and I did not pursue a further degree, so my apologies if I wasn’t entirely accurate. My mathematical theory is very rusty these days. lol
Oh, I only minored in math, I'm no expert either! Yeah, your explanation was really fine, I just thought the "sum of a geometric series" thing might ring a bell for some readers.