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T-Total and T-Number  

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T-Total and T-Number 1. I was first asked to investigate the relationship between the T-total and T-number. We have a grid nine by nine with the numbers starting from 1 to 81. There is a shape in the grid called the t-shape. This is highlighted in the colour red. This is shown 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 The number 20 at the bottom of the t-shape will be called the t-number. All the numbers highlighted and added up will be called the t-total. In this section there is an investigation between the t-total and the t-number. 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 For the t-shape in red the: T-number is 20 And the T-total is37 For this t-shape in green the: T-number is 21 and the T-total is 42 This is a table showing the relationship between the T-total and T-number: T-number T-total 20 37 21 42 22 47 23 52 24 57 25 62 26 67 As you can see from this information is that every time the t-number goes up one the t-total goes up five. Therefore the ratio between the...

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