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Andrew Belcher 91 92 93 94 95 96 97 97 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 3 by 3 step stair, this is because the step stair goes up by three squares and down by three squares. We will call this step stair 'S-number 1' as that is the number in the bottom left of the step stair. The step stair total (which we will call the S-total) is all the numbers within the step stair added together. The step stair total for this step stair for example is 50, as 1+2+3+11+12+21=50 I am now going to try and find an algebraic equation for finding the S-total from the S-number. I am now going to find a link between the S-number (which we will call N) and the rest of the numbers in the grid: N+20 N+10 N+11 N N+1 N+2 I can now work out a general by adding together all the N's: N+N+N+N+N+N= 6N And then adding that to all the other numbers added together: 10+20+11+1+2=44 There for the...

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