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Stephen Brookes 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 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 10x10 grid. The stair is found by adding all the numbers inside the stair. In order to assist my investigation, I am going to use the notation to designate the stair. The stair shown is therefore S (1) (S1)=1+2+3+11+12+21=50 (Sn=sum of all the numbers in the stair. . n= the bottom left number in the stair. I am now going to look at different stair positions on the grid. I will do five different positions in order so I have consistency to find a pattern. 21 11 12 1 2 3 The stair shown is S (1) S (1)= 1+2+3+11+12+21=50 The stair shown is S (2) S (2)= 2+3+4+12+13+22=56 22 12 13 2 3 4 23 13 14 3 4 5 The stair show is S (3) S (3) = 3+4+5+13+14+23=62 24 14 15 4 5 6 The stair shown is S (4) S (4) =4+5+6+14+15+24=68 25 15 16 5 6 7 The stair shown is S (5) S (5)= 5+6+7+15+16+25=74 I have noticed that I cannot find the two right hand columns or the bottom two rows. I have looked at five different positions on the...

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