Coursework.Info - Inspiration in an Instant

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I was asked to investigate drawing boxes on a 10 x 10 grid and multiply the top left number with the bottom right and vice versa and find the difference. I will try to obtain a formula to make any sized box from one number. I will then explore what happens when the size of the grid is increased or enlarged. Size of box Result 2 x 2 10 2 x 3 20 2 x 4 30 2 x 5 40 2 x 6 50 2 x 7 60 The pattern is that for every extra row that is added, another 10 is added to the result. I can prove this by drawing boxes from the grid. I decided that I would work out by trying to make an equation to find out the nth term. I will at first work out the equation for a 2 x 2 box so that I will be able to choose any number and work out...

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