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Part one For part one, I am investigating the relationship between the stair total and the position of the stair shape on the grid. I began my investigation by drawing a large 10x10 number grid like so: 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 Key * 3-step stair 1 * 3-step stair 2 * 3-step stair 3 * 3-step stair 4 Calculations 3-step stair 1 - 25+26+27+35+36+45 = 194 3-step stair 2 - 65+66+67+75+76+85 = 434 3-step stair 3 - 61+62+63+71+71+81 = 410 3-step stair 4 - 21+22+23+31+31+41 = 170 As you can see, within this number grid I produced four 3-step stair diagrams, labelled 3-step stair 1, 3-step stair 2, 3-step stair 3 and 3-step stair 4. I then shaded them in individually with a key below to indicate the colour to the name. I then added the numbers together in the individuals 3-step stairs to reveal four different sets of answers like shown when doing my calculations. I have studied these answers and concluded that...

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