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T Shapes Investigation  

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Maths Coursework T Shapes Investigation Definition Abbreviation: On a grid we place a T Shape it can be any size. T Shape T Total is the sum of all the numbers inside the T Shape Tt. T Number is the number at the base of the T. T No or Tn. Part 1 Investigate the relationship between the Tt and the T No. 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 Orange T Shape is a 3 by 2 and the green is a 5 by 3, both of these are on a 9 by 9 grid. T Shape T No Tt Orange 3 by 2 20 37 Other 3 by 2 34 107 Other 3 by 2 56 217 At this point I thought if I put a T Shape into the Nth term: For a 3 by 2 1 2 3 11 20 Goes to n-19 n-18 n-17 n-9 n = 5n-63 Therefore to make it a formula it becomes Tt=5n-63 Now I began to explore how to find certain numbers such as the 5 and the minus 63. The only numbers I can work with are the 3...

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