![]() Reddit Enhancement Suite allows Imgur URLs to be expanded inline but doesn't work so well for other image-hosts.ĬhatGPT and other large language models are not designed for calculation and will frequently be /r/confidentlyincorrect in answering questions about mathematics even if you subscribe to ChatGPT Plus and use its Wolfram|Alpha plugin, it's much better to go to Wolfram|Alpha directly.Įven for more conceptual questions that don't require calculation, LLMs can lead you astray they can also give you good ideas to investigate further, but you should never trust what an LLM tells you.We recommend using Imgur to upload images for linking inside posts.Include any equations or assumptions you are using, and descriptions of any attempts you have made.Where are you in the process? Provide those who help with as much information as possible. What does your instructor (or the text) want you to accomplish? To receive the best help, please use the following format: Sample topic questionĮX: Quadratic Equations EX: Probability Be civil and polite this is meant to be an approachable community for discussion of reason and logic. Questions, no matter how basic, will be answered (to the best ability of the online subscribers).įollow reddiquette. Post all your math-learning resources here. This is a subreddit for learning math, and can be seen as a sister subreddit to /r/math. Think /r/math is too advanced? Here, the only stupid question is the one you don't ask. We're no longer participating in the protest against excessive API fees, but many other subreddits are check out the progress among subreddits that pledged to go dark on 12 July 2023 and the top 255 subreddits (even those that never joined the protest). ![]() | Each post must include a specific title and description. Well for an arithmeticĪmount regardless of what our index is.Set your post to "Resolved" when answered. That we're adding based on what our index is. ![]() So this looks close,īut notice here we're changing the amount Previous term plus whatever your index is. Or greater, a sub n is going to be equal to what? So a sub 2 is the previous It's going to infinity, with- we'll say our baseĬase- a sub 1 is equal to 1. So we could say, this isĮqual to a sub n, where n is starting at 1 and This, since we're trying to define our sequences? Let's say we wanted toĭefine it recursively. So this, first of all,Īrithmetic sequence. We're adding a differentĪmount every time. Giveaway that this is not an arithmetic sequence. Is is this one right over here an arithmetic sequence? Well, let's check it out. To the previous term plus d for n greater Wanted to the right the recursive way of defining anĪrithmetic sequence generally, you could say a subĮqual to a sub n minus 1. And in this case, k is negativeĥ, and in this case, k is 100. That's how much you'reĪdding by each time. So this is one way to defineĪn arithmetic sequence. Number, or decrementing by- times n minus 1. If you want toĭefine it explicitly, you could say a sub n isĮqual to some constant, which would essentiallyĬonstant plus some number that your incrementing. Wanted a generalizable way to spot or define anĪrithmetic sequence is going to be of the formĪ sub n- if we're talking about an infinite one-įrom n equals 1 to infinity. Than 1, for any index above 1, a sub n is equal to the One definition where we write it like this, or weĬould write a sub n, from n equals 1 to infinity. To define it explicitly, is equal to 100 plus Of- and we could just say a sub n, if we want Is the sequence a sub n, n going from 1 to infinity So this is indeed anĬlear, this is one, and this is one right over here. Is this one arithmetic? Well, we're going from 100. The arithmetic sequence that we have here. So either of theseĪre completely legitimate ways of defining And then each successive term,įor a sub 2 and greater- so I could say a sub n is equal We're going to add positiveĢ one less than the index that we're lookingĮxplicit definition of this arithmetic sequence. So for the secondįrom our base term, we added 2 three times. We could eitherĭefine it explicitly, we could write a sub n is equal With- and there's two ways we could define it. So this is clearly anĪrithmetic sequence. Then to go from negativeġ to 1, you had to add 2. These are arithmetic sequences? Well let's look at thisįirst one right over here. Term is a fixed amount larger than the previous one, which of So first, given thatĪn arithmetic sequence is one where each successive The index you're looking at, or as recursive definitions. And then just so thatĮither as explicit functions of the term you're looking for, Out which of these sequences are arithmetic sequences. Term is a fixed number larger than the term before it. Video is familiarize ourselves with a very commonĪrithmetic sequences.
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