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Number Stairs
Member rating: No Rating | Words: | Submitted: Mon Apr 18 2005
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Year 11 Algebra coursework - Number Stairs Laura Bird I am going to investigate into the stair total of different sized stair shapes on different sized number grids, the stair total being the total of the numbers inside the stair shape. I will then see if I can produce an algebraic formula to calculate this total for any sized stair shape on any sized grid. I shall start by finding a formula for the total of numbers in a 3-step stair on a 10×10 grid (for example see fig. 1), based on one of the numbers inside the stair shape. Fig. 1 This is a 3-step stair. The stair total for this stair shape would be: 25 + 26 + 27 + 35 + 36 + 45 = 194 I started simple to form some simple equations to calculate the stair total. Eg 1. For a 3-step stair on a 10×10 grid I...
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