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Katie Muston Number Stairs 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 61 62 63 64 65 66 67 68 69 70 51 52 53 54 55 56 57 58 59 60 41 42 43 44 45 46 47 48 49 50 31 32 33 34 35 36 37 38 39 40 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 On the 10 by 10 number grid above I have drawn a stair shape. This is known as a three-step stair. The total of the numbers inside the stair is: 55+45+46+35+36+37=254 So the stair total for this shape is 254. The stair number for this shape is stair 35 as the number in the bottom left hand corner is 35. Now we can investigate the relationship between the position of the stair shape on the grid and the stair total. The diagram below is stair 1 as the number in the bottom left hand corner is 1. 21 11 12 1 2 3 As we see, the stair total for this 3-step stair1 on this 10 by 10-number grid is 50 as 1 + 2 + 3 + 11 + 12 + 21 = 50. Below is the stair shape one square to the right of stair1. This stair is called stair2 as the number in the bottom left hand...

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