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Introduction In this bit of coursework I will draw shapes that tessellate and work on the parts in between them, I will look for patterns and will try to find the nth term, write a table of my results and draw line graphs as another way of showing my results. Squares I will firstly be looking at squares. Here is a table showing my results: n x n + 1 x 1 4 0 0 2 x 2 4 4 1 3 x 3 4 8 4 4 x 4 4 12 9 For the second column ( ) each square has 4 because the symbol represents the corners and all squares have 4 corners. The nth term is n= 4 For the third column ( ) the amount goes up in 4's because an extra symbol is needed 1 more time on each of the sides and there is 4 sides. The nth term for this is (n-1) x4. For the fourth column the numbers are square numbers because in the...

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