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number stairs

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Number Stairs Part 1: For the other 3-step stairs, investigate the relationship between the stair total and the position of the stair shape on the grid. Here we have a 10 by 10 grid. In the grid, there is a shape called the 3-step stair 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 The number at the bottom left of the 3-step stair is 25. This is called the Step-number. The sum of all the numbers in the 3-step stair is 194. 25 + 26 + 27 + 35 + 36 + 45 = 194 This is called the Step-total. I am going to investigate the relationship between the stair total and the position of the stair shape on the grid using the first step-number on the grid. 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 The first 3-step stair is made up of 1 + 2 + 3 + 11 + 12 + 21 = 50 If I move the 3-step stair 1 unit to the right, the 3-step stair would be made...

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