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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 Introduction The aim of this piece of coursework is to investigate whether a pattern or sequence occurs when using the following rules: * A box is drawn round four numbers using the above number grid. * 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, an investigation using a 2 x 2 square will take place. This will be followed by further investigations, using varied sizes of squares and rectangles. Furthermore, a prediction of a formula for each number grid size will be included. 2 x 2 Square A. 1 x 12 = 12 2 x 11 = 22 Product difference = 10 B. 22 x 33 = 726 23 x 32 = 736 Product difference = 10 C. 67 x 78 = 5226 68 x 77 = 5236 Product difference = 10 D. 89 x 100...

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