1. Refer to the hexagon pattern below. Assume that each edge of the hexagon measures 1 cm. Assume that one hexagon is added to one shape to get the next shape. Let H(n) be the function describing the perimeter as a function of the shape number. Shape 1: Shape 2: Shape 3: (a) Draw the next two shapes in the pattern. (b) Make a table with columns for n and H(n) for n = 1,2, 3, 4, and 5 and make a graph of the values in your table. (c) Write an equation for H(n). (d) Find H(15).

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