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The topic we have chosen to investigate for our maths assignment is 'sequences'. In order to do this we will firstly show a diagram of matchstick shapes increasing in size.  

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Introduction The topic we have chosen to investigate for our maths assignment is 'sequences'. In order to do this we will firstly show a diagram of matchstick shapes increasing in size. Our first chosen stage is a triangle, in the second stage we will draw a table of results, the top line representing the orders of terms and the bottom line will represent the number of matchsticks used to make the sequence. From this table we will be able to see the 'number increase' in each step of the sequence. With this information we hope to find the formula for the 'nth term'. The 'nth term' is merely a representation of the order of sequence; therefore it can be substituted for any value in sequence. By using the formula we should be able to predict any number of the sequence. In order to find our formula we must have a consistent increase...

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