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Number Stairs Problem: Look at the stair shape drawn on the 10x 10 grid below. 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 This is a 3-step stair. The total of the numbers inside the stair shape is 25+26+27+35+36+45 = 194 The stair total for this 3-step stair is 194. Part 1 For other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. Part 2 Investigate further the relationship between the stair totals and other step stairs on other number grids. I plan to work first on a 10x10 grid. Let the total of the numbers within the stair be S. Let the number at the bottom left of the grid (the 'stair number') be n. On my 10x10 grid, I will first use an s-number of 25, which makes the s-total = 194. I will then work systematically, increasing the s-number by 1 every time. However, the s-number is limited in its placement - it cannot be...

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