Fine. Solve this and post your time (you are not allowed to use AI, a calculator, another person, or anything other than your brain): I'll wait: Starting with any positive integer n, the sequence n,n/2,3n+1,… eventually reaches 1. |
Ooh, I love math puzzles. If not for a reduction from my real analysis professor, my PhD would be in math. (He told me to do a related field that pays more but allows me to study the same stuff.) But your post is ill-formed. Do you mean “prove” instead of “solve”? And what is the sequence you’re depicting? I feel like it is still sufficiently unclear as to accept a host of possible fourth terms, and so on. Granted, I only looked at it for like 15 seconds, but a sequence should be discernible within that time. Please try again. I like puzzles. |
| Me again. And I assume you mean “converges towards 1” not “reached 1.” If you actually mean it achieves the value one, as opposed to convergence, please state so. |
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Me again. Oh, you’re going for the Collatz Conjecture. You wrote it incorrectly, as far as my recollection of my coursework goes.
It is unproven. Don’t post stupid stuff like this here, as if you’re puffing out your chest. I’m further convinced you have little if any actual math/stats background. (If I’m misremembering the conjecture, that’s egg on my face. But I think that’s what you’re going for.) |
| This thread really went off the rails. |
Somehow, this forum always does when talking about public high schools in DC. Which is a shame because there's a lot to learn, and many of the commonly held beliefs about them on this forum are false. |
What is this sequence? So if n is 10, it's 10, 5, 31??? Or if n = 2, 2, 1, 7. Not seeing the pattern. It's also approaching 1. Also not seeing the relationship to MacArthur students. |
Yikes, not only is this totally irrelevant to the thread, you entirely screwed up what you actually trying to post about (the Collatz conjecture). You didn't post the function correctly nor what you were asking people to do correctly (presumably prove this yet unproven conjecture; not "solve" it). |
| Ma’am, this is a Wendy’s. |
| Sorry, OP here but can we please stay on track? Thanks, I would really appreciate the feedback! |
LOL, this is peak DCUM. If you want a laugh, visit the basketball forum to see these same people comment on sports. |
Have you even looked at the link and data? I have and the presentation is terrible and lacking. You can’t even make out the column heading to know what the data below is representing. So you don’t even know what the data is representing let alone what school. So far, I don’t see anyone here attempting to analyze it because it is not very transparent. I would also point out that the poster who presented the current Hardy data did not provide links of evidence or legitimate source. The DC report card presents clear percentages and breakdowns of CAPE scores overall and by different subgroups for each and every school. What exactly is the false storyline here that you are alluding to? |
I don't care which data you are using. Using recent historical data as a predictor of future outcomes is a reasonable approach in developed contexts. But when you know the circumstances of the recent past (esp. 2023-2024) are substantially different than the near future (eg. 2026-2027), then it's just dumb to insist that the data is highly relevant. Analysis includes more than referencing data. You also have to think critically. |
| I think I need to close this thread unless we can stay on topic please!! |
Umm, yeah, I have a lot experience working with DC education data. I was the person who posted some basic analyses of Hardy data many years ago. Maybe 2015 or so. The CSV files still suck, but they suck less now. And back then, the relevant data were scattered across different websites and agencies. Difficulty is not an excuse for laziness. And an inability to perform some basic statistical inference is not an excuse to use someone else’s ill-fitting narratives. |