Coursework.Info - Inspiration in an Instant

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In this piece of coursework, I will investigate how shapes grow. Firstly, I will look at how an arrangement of shaded and unshaded squares grows; I have been given 3 diagrams. Each diagram shows how the shape grows. They do this by adding a new layer of squares to each exposed surface of the previous shape. When I finish investigating squares I may look at other shapes. I am now going to draw 6 different stages of this growth to establish if any patterns arise. Finding the Nth Term I am now going to put the information I found from each of the shapes into tabular form so that I can understand it better and perhaps spot a pattern emerging. If I find a pattern I will use it to determine an Nth term, meaning a term that will be applicable to all shapes of this nature. Perimeter Stage (N) 1 2 3 4 5 6 Sequence 12 20 28 36 44 52 1st difference +8 +8 +8 +8 +8 2nd difference I can see...

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