So today in class we were given an interesting problem that we were asked to solve. Basically you had to fold a piece of paper in half over and over again and then count how many creases were created by x amount of folds, as well as the direction of the creases. My partner and I decided to tackle the issue by first making a t - table where the right side held the number of creases, their direction, and the sequence.The left side held number of folds. Using the data we were able to accomplish two things: firstly we were able to create a formula that would output the number of creases based on an input of number of folds. Secondly we were also able to find the pattern in the sequence and explain it via words.
Our issue arose however when we tried to create a formula that would be able to output the correct sequence for up and down in the creases. While we could explain it in English sentences, we could not figure out the mathematical formula for the sequence.
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