Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchsticks is 1 unit). First diagram Second diagram Third diagram a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color. b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color.

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