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## Math

### Essay specific features

Issue:

Miscellaneous

Written by:

William P

September 11, 2015

Level:

University

B

No of pages / words:

2 / 496

Was viewed:

10000 times

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##### Essay content:

Now look for patterns. A good way to find algebraic rules is to look at the differences between values. I'm not going to use the example of the painted cube here because it is often used as a GCSE task so it wouldn't be fair to give you any more help with it. To look at differences, I'm just going to use a sequence of values: x 1 2 3 4 5 6 7 8 9 Results 4 11 18 25 32 39 46 53 60 1st difference 7 7 7 7 7 7 7 7 The first difference is 7...
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To look at differences, I'm just going to use a sequence of values: x 1 2 3 4 5 6 7 8 9 Results 4 11 18 25 32 39 46 53 60 1st difference 7 7 7 7 7 7 7 7 The first difference is 7. This tells us that we have to multiply x by 7. Next work out what we need to add or subtract to get the algebraic relationship: 7 x 1 = 7, 7 - 3 = 4 7 x 2 = 14, 14 - 3 = 11 7 x 3 = 21, 21 - 3 = 18 The rule is multiply by 7 and subtract 3, or x maps onto 7x - 3, y = 7x -3...
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