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Number Grid Investigation 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 By Robi Al-Amin Chowdhury Prediction: My prediction for this investigation is that when the sequence quantity increases, the differences will also increase because different numbers of sequences have different variety of outcomes. This prediction is based on a theory of number sequences and terms, and it shows the difference in every term. I could prove my prediction correct by testing and analyzing the data, which will be achieved at the end of this investigation. Below is a number grid of size 10 by 10. 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 Take the box as shown: 12 13 22 23 Multiply the top left hand corner number with the bottom right hand corner number. 12 x 23=276 Now multiply the top right hand corner number with the bottom left hand corner number. 13 x 22 = 286 The difference of the product is 286-276 = 10 Now I will do the same for a few more 2x2 boxes to see what the difference is: 77 78 87 88 77...

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