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3-26 AIM3 7.9 Getting Started

Added Mar 26, 2024 •

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Time to meet some recursive models.

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and hello there just a quick video here to get you to learn a new calculated move would need for another in another section but just a quick reminder you have met recursive definition for and closed form definition we bouncing back and forth between them and we'll be using recursive definitions then situations often looking at monthly payments on loans will be pretending we're buying a car or house or something ground with what how long it takes to pay it off the thing and how much we make per month or how much we pay per month what the interest rate is that kind of thing but first you have to learn something new on your calculator so don't have it get it out cuz you want to know these moves all right don't be dealing with something called sequential form so freaking to do is push mode on your calculator and scroll down to the line here where we primarily noon functions and going to want us to select sequential here just highlighted and then you'll discover when you push the Y equals but instead of what you see you'll see something that looks like this and we've got different function you've got used BMWs I think we'll probably only ever need one at a time for what we play with possibly too but I think only one let me know I think we will meet you at one point okay so how do we do how do we do that well first let's remember a couple of things here is recursive definition you got some function G of n has an initial input value of 0 of which there's an output of zero then recall our our Note 8 this is an output Angie and minus one would be the previous output what's a shrew what is saying is you your first out your first and put a zero for what you get zero okay fine 00 then it saying if you want to find the next output what you said he'd G of 191 e g f 1 - 1 0 the previous output so to find some output go to the previous output while that was zero and add 10 well I can handle that to find the next output 25 mg of to go to the previous output which was one add one so I get to and then continues for 3B 2 + 1 United me sing a very nice little pattern here so pretty recognizable form there could you give me the closed form will give us exactly the same output starting at 0 well I hope you recognize the output for the same as input so the output and there's your input so Gia ban would just sometimes it's very easy indeed to bounce back and forth how to change the course of the more challenging all right let's go back to in putting stuff so what want to do is take this recursive definition and learn how to put it into our calculations Southwinds sequence mode with which wife was we got this so how do we input this in to hear well and Men while that's our input our first input well that's your that's easy enough just typing typing zero Karen over there looks like it's 6 I was going to type in 0 now you have been you then because you saw when you of Envy then. cancel our first rule of law is the U of M b b s g r a m stand out over have to call you and here's where I'm going to give the rule in here is the rule it's the previous output plus one do we need to type it you said of Jesus you but we where is you on your calculator you might want to take a second see if you can find you in your calculator okay did you find it did you find it well they're actually Tupac the buildings right you may have found the alpha you which is above the five right there it is that's not the one we want we want the blue right if you're whatever your second call the key is right here just above the 7th after you we want when you press Jack and said he will get to see you and then you just go to rent the Seas now this and that's in here you go back and look at this button here next to the alpha knows one of the characters on there is an in-the-moment you go in sequence mode your calculator will automatically type in the end for you once you press that so no big deal U of N - 1 parentheses plus one and then this is the output for your input while we go back our first input was Zero the output of zero and now we will set up the rule if you were to go into your table set and blue table set you were to go into there and play table start 0 and Delta table 1 and then press table you would see this output might be good test you to make sure you didn't put it everything correctly if you don't go back to its even care what your era was all right so you leave this to help us with some of the stuff coming up in the next couple lessons take care

Uploaded by Brian Macky.

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