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Polygon Trains The illustration below shows the first 3 figures in a sequence of ...
Polygon Trains The illustration below shows the first 3 figures in a sequence of "Square Trains," figures formed by stringing toothpick squares together. - What would be the perimeter of the 100* Square Train (i.e. the number of toothpicks around the outside of the figure)? o The formula for the perimeter: \( 2 n+2 \) - 100th Square Train: \( 2(100)+2=200+2=2021 \) - What would be the perimeter of the \( n \)th Square Train? - The perimeter of the nth square train would be \( 2 n+2 \). - How many toothpicks would be needed to make the 100th Square Train? - How many toothpicks would be needed to make the nth Square Train?
Here are the first three Triangle Trains, and the first 3 Pentagon Trains. - What would be the perimeter of the \( n \)th triangle train? and of the \( n \)th pentagon train? - How many toothpicks would be needed to create the \( n \)th triangle train, and the \( n \)th pentagon train?