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Mathematics GCSE Coursework. Patterns with Fractions. Introduction. In this part of the Maths Syllabus Coursework we were asked to investigate Patterns with Fractions and to consider the sequence and investigate the difference patterns for this and/or other families of fractions. 1) 2) 3) 4) 5) 6) 7) 8) 9) Patterns. The first pattern that I saw was that the horizontal line 2) this is the same as the first diagonal line on the left (starting , , ). This carries on going-the third horizontal line is the same as the second diagonal line. Another pattern which only works on line 1) to find the denominator of the difference is n*(n+1) e.g. to find the difference between and is 3*4=12 so the difference between them is Equations. For the first line the equation is I have found an equation that lets you find out the next denominator. P+() In this equation...

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