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Introduction Look at this number grid: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 The aim of this coursework is to investigate whether a pattern or sequence occurs when using the following the rules. A box is drawn round four using the above number grid. Using this find the product of the top left number and the bottom right number in this box. Do the same with the top right and bottom left numbers. Calculate the difference between these products. To begin with, I am going to do an investigation using 2 x 2 square will take place. This then will be followed by further investigations, using varied sizes of squares and rectangles. 12 13 22 23 Additionally, I will also include a prediction of a formula for each number grid. SQUARE GRID To do 2 x 2 number grid, before I begin with the numbers which they have given I am going to use the easier numbers, which will be easier for me to find the...

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