![]() Trying to find the nth term, it's gonna be the n minus oneth term plus negative 1/5, so B is negative 1/5. So if you look at this way, you could see that if I'm You see that right over there and of course I could have written this like g of four is equal to g of four minus one minus 1/5. And so one way to think about it, if we were to go the other way, we could say, for example, that g of four is equal to g of three minus 1/5, minus 1/5. The same amount to every time, and I am, I'm subtracting 1/5, and so I am subtracting 1/5. Term to the second term, what have I done? Looks like I have subtracted 1/5, so minus 1/5, and then it's an arithmetic sequence so I should subtract or add Let's just think about what's happening with this arithmetic sequence. This means the n minus oneth term, plus B, will give you the nth term. It's saying it's going to beĮqual to the previous term, g of n minus one. And now let's think about the second line. So we could write this as g of n is equal to four if n is equal to one. If n is equal to one, if n is equal to one, the first term when n equals one is four. ![]() Well, the first one to figure out, A is actually pretty straightforward. ![]() And so I encourage you to pause this video and see if you could figure out what A and B are going to be. So they say the nth term is going to be equal to A if n is equal to one and it's going to beĮqual to g of n minus one plus B if n is greater than one. Missing parameters A and B in the following recursiveĭefinition of the sequence. So let's say the first term is four, second term is 3 4/5, third term is 3 3/5, fourth term is 3 2/5. g is a function that describes an arithmetic sequence.
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