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Introduction For my course-work investigation I will be working out the relationship between the base number and the T-number. I will also be including two variables into my investigation to see how it can change the relationship between base number and 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 To find out the formula and relationship I must firstly see if there is a pattern between one T-shape and another and any other patterns that could help me find the formula. I will also be displaying my work in graphs and tables. Number 1: 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 The first T-shape I have indicated in red. The base number is 22 and the T-Number is 40 Base Number = 22 T-Number = 40 Number 2: 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Base Number = 23 T-Number = 45 Number 3: 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 31 33 34 35 36 37 38 39 40 41 41 42 44 43 45 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Base Number = 24 T-Number = 50 T-Number Base Number 40 22 45 23 50 24 55 25 60 26 65 27 70 28 75 29 80 30 85 31 90 32 95 33 100 34 105 35 110 36 115 37 120 38 125 39 130 40 From this table we can see that the T-number increases by 5 and the base number increases by 1. This is a ratio of 5:1 What we need now is a...

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