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Number Stairs 1+2+3+11+12+21=50 8+9+10+18+19+28=92 48+49+50+58+59+68=332 71+72+73+81+82+91=470 15+16+17+25+26+35=161 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 the stairs numbers and I add all the stair number and every time I got different totals. E.g. 50, 92, 332, 470 and 161 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 71+72+73+81+82+91=470 72+73+74+82+83+92=476 73+74+75+83+84+93=482 74+75+76+84+85+94=488 I am finding out different totals, but going up by set amount. Every time it goes up by 6. Stair Number: 71 72 73 74 Stair total: 470 476 482 488 Difference: 6 6 6 Now I know this pattern I can predict that the stair total for stair 75 will be 492 as 488+6. To make sure that is right I have to test prediction. 75+76+77+85+86+95=494 my predict is right We can therefore say that every time you move the stair shape one square to the right you increase the stair total by 6 and every time you move the stair shape one square to the left you decrease the stair total by 6. 72 + 73 + 74 + 82 + 83 + 92 = 476 72 72+1...

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