![]() Sophie So, if it’s 20 blue tiles tall, it’s 3 times 20, plus 2. Pattern we want, just by finding the rule, which is 3 times N, plus 2, or 3N+2! Now we can work out how many tiles there are in any If we don't know how many tiles there are in each blue column, we canĪnd then we add the 2 white. Well, our blue rows are always 3 tiles wide. So what if we want to make a really big pattern? How do we know how many tiles we need in total? 2 blue rows, times 3, plus 2 white is 8 tiles.ģ blue, times 3, plus 2 white, is 11 tiles! And so on! 1 blue row, times 3, plus 2 white is 5 tiles. Mathsmutt: Ok, let's look at the patterns again. So, now you can work any number in the sequence! Mathsmutt: Yup! And that means it’s connected to the 3 timestable. See? 5 tiles, 8 tiles, 11 tiles, 14 tiles. And the number of tiles at the bottom of each one increases by the same amount each time. Let's make some pretty patterns! Ta da! My patterns are always 3 wide, with 2 tiles on the top. Mathsmutt Ok, this is just like your homework. Mathsmutt: Come on! Let’s go see if we can help!ĭad: Oh I give up, Sophie. Sophie: No, Mathsmutt! Working here with you two is impossible! With Dad constantly banging, I’m never going to get my homework done. Any other quadratic equation is best solved by using the Quadratic Formula.Mathsmutt: Come on Sophie, linear sequences aren’t impossible! If the equation fits the form ax 2 = k or a( x − h) 2 = k, it can easily be solved by using the Square Root Property. If the quadratic factors easily, this method is very quick.
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