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Chan-woo Kim Mathematics coursework T-Totals - All the things T said -Word definition *T-Total eg) 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 Looking at T-shape drawn on 5 by 5 number grid. The sum of the numbers inside the shape is 1+2+3+7+12=25 25 is called 'T-Total'. *T-Number The number at the bottom of the shape (the number which is shown by the shaded square) is called 'T-Number'. The T-Number for the T-shape above is 12. -The aim of this project is to investigate the relationship between T-Total and T-Number. -I use 9 by 9 number grid to investigate the relationship. 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 -Then I pick some samples to find what I am going to find. Sample 1) 1 2 3 11 20 T-Number = 20 T-Total = 1+2+3+11+20 = 37 Sample 2) 2 3 4 12 21 T-Number = 21 T-Total = 2+3+4+12+21 = 42 Sample 3) 3 4 5 13 22 T-Number = 22 T-Total = 3+4+5+13+22 = 47 -I arrange these samples in the table. T-Number 20 21 22 T-Total 37 42 47 -As we notice, when T-Number increases by 1, its T-Total also increases by 5. It shows that there is a certain pattern. -If I define T-Number = N N-19 N-18 N-17 N-9 N T-Total = N+N-9+N-18+N-19+N-17 = 5N-63 -To check...

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