Coursework.Info - Inspiration in an Instant

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Number Grid For this task I will first be looking at a number grid from 1 to 100, like the one below: 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 I will start my investigation by looking at 2 by 2 squares. I will draw a square around 4 numbers, find the product of the top left and bottom right numbers and the product of the bottom left and top right numbers, then calculate the difference the between the 2 products. I will see if there are any patterns and if so I will try to work them out algebraically. I will then look at changing the size of the squares to see if there are any patterns. I will try looking at 3 by 3 squares, 4 by 4 squares and 5 by 5 squares; I will do the same with these squares as I have with the 2 by 2 squares, I will find the products of the...

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