... corresponding number of matchsticks. We see that the number of matchsticks is twice the size of number 4 plus 1. This is written as 2n+1 Where n represents the order of sequence. The formula 2n allows us to work out any number in the sequence. Working out the difference in the number of matchsticks derives this formula (in this case the result is 2) we then multiply this difference by the order of sequence (this gives us 2n). To complete the formula we examine the 2n to find what has to be done with it to reach the accurate formula. These are achieved by substituting our information on the table into the formula and then determine what has to be added to the formula to make it work. In this instance we will have to add 1 to make the formula work; i.e. 2xn 8+1=9 2x4=8 2n+1 is our formula. Triangles of Matchsticks 3 ...

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