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An investigation into the relationship between stairs size and the value.
Member rating: No Rating | Words: | Submitted: Fri Mar 31 2006
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An investigation into the relationship between stairs size and the value. 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 1st stair: 25 + 26 + 27 + 35 + 36 + 45 = 194 If we represent this 1st stair in the form of n then an algebraic formula can be created. n+(n+1)+(n+2)+(n+10)+(n+11)+(n+20) = 6n+44 Therefore in terms of x and y, with x being the base number and y being the total of the stair the formula would be: y=6x+44 No matter what x is replaced by the formula (6x+44) is always applicable. 25 + 26 + 27 + 35 + 36 + 45 = 194 (6x25) + 44 = 194 26 + 27 + 28 + 36 + 37 + 46 = 200 (6x26) + 44 = 200 These stairs are only one along from each other on the same line. This formula applies to any 3 levelled stairs anywhere on the grid no matter where it is. 45 + 46 + 47 + 55 + 56 + 65 =...
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