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Philip Spicer Maths coursework: 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 49 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 problem: I have to find a theory that links the relationship between the stair total and the position of the stair shape on the grid. I plan to do this is by comparing the grid width against the stair number (for this stair the bottom left hand square) to find an equation that relates it to the stair total ( the sum of all the numbers in the stair). e.g. stair number 55: 55+56+57+65+66+75 = 374 (stair total) I will then proceed not to just rotate the stair but change its size and see from these results if I can find one general equation which sums up the project. Then I will plot these results onto a table and look to find an equation to solve them. Stair no. 55 56 57 58 59 Stair total 374 380 386 392 398 To find an equation from this I will have to translate a stair into algebraic form: Proof: ...

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