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Block sequences The aim of this project is to investigate a sequence of blocks. I am going to try to find a pattern (Nth term). I will place the results of my findings alongside results from other shapes in an attempt to find a general pattern for the areas that I have looked at The areas that I will investigate are: The perimeter, The area, The number of unshaded squares and The number of squares. I will begin my investigation with the sequence that I was given. Through my investigation I will Replace With Perimeter P Area A Shaded S Unshaded Uns Squares P 4 A 1 S 0 Uns 1 P 12 A 5 S 4 Uns 1 P 20 A 13 S 8 Uns 5 P 28 A 25 S 12 Uns 13 P 36 A 41 S 16 Uns 25 I will now put all the figures I have recorded into tables and find the Nth term Perimeter Diagram No of sides 1 4 2 12 3 20 4 28 5 36 4 12 20 28 36 8 8 8 8 Now that I have found the common difference in the sequence I can work out the Nth term. Diagram 8N - = Perimeter 1 8 4 = 4 2 16 4 = 12 3 24 4 = 20 4 36 4 = 28 5 40 4 = 36 The Nth term for the perimeter is 8N- 4 I will now follow the same steps to work out the Nth term for...

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