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Number Stairs Investigation Introduction: This is a 3-step stair taken from a 10 x 10 grid. The total of the numbers inside the stair shape is: 25+26+27+35+36+45 = 194 We can write this as T = 194 Part 1 Working: For other 3-step stairs investigate the relationship between the stair total and the position of the stair shape on the 10 x 10 grid (given by the label x in Tx) Results Table: X T (total) 1 T = 50 25 T = 194 26 T = 200 27 T = 206 28 T = 212 78 T = 512 As the x number rises by one, the total number rises by six. This is because there are six numbers in the 3-step stair, and if x increases by one then so do the rest of the numbers. E.g. 45 46 35 36 36 35 25 26 27 26 27 28 As we can see, each of the six numbers has increased by one. Therefore; 1 x 6 = 6. So far the equation...

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