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Recursive and Explicit Formulas Worksheet

Recursive and Explicit Formulas Worksheet

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okay so I'm gonna do a quick demonstration on quadratic patterns find the recursive rule and explicit rule um so this is a quadratic pattern that I have shown here so thinking about how it kind of connects to linear if it was a linear pattern between each of these numbers would be the same value it has the same common difference now if this was exponential you would multiply from 110 next to get the same value no neither of those work in this case now here's what you do for a quadratic we are going to look at the first difference so between 0 and 4 your difference is for now we're gonna quickly kind of make a table out of this so it's gonna go to the second of the two so our difference is 4 between 4 and 16 is gonna be 12 between 16 and 36 the difference is gonna be 20 and between 64 and 36 the difference is gonna be 28 now looking at that it's not this would tell you if it was linear but all these were the same which they're not so guess

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