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T-Total 1. Here is a 9 by 9 grid. 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 total of the numbers within the T shape is 1+2+3+11+20=37 I will call this the T-total. The 20 at the bottom of the T shape will be called the T-Number. 1 2 3 11 20 Here is the T shape by itself. As you can see the middle column is going down in 9's because the grid size is 9 by 9. T-19 T-18 T-17 T-9 T Here is a converted version of the original. This is so I can work out a formula to find the T-total on a 9 by 9 grid. T-Total=T-19+T-18+T-17+T-9+T T-Total=5T-63 Time for me to check if this formula works: T means T-Number. T=20 T-Total=5x20-63 T-Total=100-63 T-Total=37 To make sure it is not a fluke, I will do 2 more checks on the same grid size. 16 17 18 26 35 T-Total=112 T-Total=5x35-63 T-Total=175-63 T-Total=112 48 49 50 58 67 T-Total=272 T-Total=5x67-63 T-Total=335-63 T-Total=272 So now you know the formula for the 9 by 9 grid is T-Total=5T-63 2. I will now find the formula for a 5 by 5 grid. Here is the 5 by 5 grid. 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 The...

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