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Task Statement: I have been set the task of working out the relationship between a 3 - step stair total and the position of the stair shape on the prearranged grid and other stair totals. Aim: As I work through this task I hope to find a formula that will help me to work out any stair total on a 10 by 10 grid. Method: I began by calculating the stair in a vertical sequence ranging from 1 step stair to 8 step stairs. The results of these calculations highlighted a definite pattern. These results were then summarised in a table from which a general formula was found. Key: = Base Number n = Base number 1 Step Stair: Difference = +1 +1 +1 +1 +1 +1 As we can see, the stair total for a 1-step stair using 1 as the base number on a 10 by 10-number grid is 1 as the total = 1....

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