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10 Step Stairs - Ten step stairs cannot be done, as there would only be 1 ten-step stair and that is not enough evidence to give any results.  

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10 Step Stairs Ten step stairs cannot be done, as there would only be 1 ten-step stair and that is not enough evidence to give any results. I am now going to start investigating the factors I am going to need to be able to find a general formula, which I will e able to fid any step stair o the 10x10 grid. Therefore I will need to investigate 5-step stair so that I will then have a consecutive formula for all the step stairs. As I already have the formulas for step stairs 2,3,4 and 6 I only need step stairs 5. Here are my results: Five Step Stair Sum Total 1 1+2+3+4+5+11+12+13+14+21+22+23+31+32+41 235 2 3+3+4+5+6+12+13+14+15+22+23+24+32+33+42 250 3 3+4+5+6+7+13+14+15+16+23+24+25+33+34+43 265 4 4+5+6+7+8+14+15+16+17+24+25+26+34+35+44 280 5 5+6+7+8+9+15+16+17+18+25+26+27+35+36+45 295 I can see form my results that the formula for the 5 step stairs is 15n+220 So now that I have found the formula for all the step stairs up to 6 I am going to predict what the formula for the 7 step stairs would be....

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