Observing Car Number

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For each train length, we started by only having that car number. Then we would subtract one from the total train length and laid out whichever car number would help equal the train length. We kept going down that line of pattern subtracting one each time until we got to having all ones to equal the train length. Each time we made sure that we changed around the car numbers to make sure they were all laid out in every single way possible. For example, for train number 4, we started with laying out car number 4 and then starting with car number 3 after that. When we got to car number 2 we made sure to have ones and twos going all of the possible ways until there were no more ways to lay out all of those car numbers to equal train length four. Whenever we reached to having all car number ones we would know that there were no more possible car combinations. …show more content…

Pattern is: train length minus one equals exponent. Then it’s two to the exponent to get the total amount of possibilities. The equation for the pattern can be written as: x-1=y, 2y/=z. Where x is the train number, y is the exponent number, and z is the number of possible ways to lay out the number cars. We are able to connect this problem to other various math problems that involve finding a pattern or identifying the pattern. This is because this problem was mainly all about finding a pattern to find bigger number of train cars. We are also able to connect this problem to Algebra functions. In Algebra we can use a table to find patterns and create a function based off that. In this problem we created a table and found a small pattern. Then we were able to create two short equations to find greater

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