Arrange pie crust onto a small sheet pan. Arrange apple slices alternately between sweet and tart on the pastry crust leaving about a 1 1/2 inch border around the edges. Turn the border of the pastry crust over onto the edge of the apple slices to form an edge of the tart.
Brush the pastry crust with some of the melted butter and drizzle the remaining over the apples. Sprinkle the apples and the edges of the crust with the sugar and then sprinkle the apples with the apple pie spice.
Bake until the apples have softened and the crust has cooked through and the have turned golden brown, about 30 - 40 minutes.
Remove from the oven and allow to cool about 5 minutes before cutting.