Define the collections {E₁, E₂, E₃, …} of ellipses and {R₁, R₂, R₃, …} of rectangles as follows: E₁ : x²/9 + y²/4 = 1; R₁: rectangle of largest area, with sides parallel to the axes, inscribed in E₁; Eₙ: ellipse x²/aₙ² + y²/bₙ² = 1 of largest area inscribed in Rₙ₋₁, n > 1; Rₙ: rectangle of largest area, with sides parallel to the axes, inscribed in Eₙ, n > 1. Then which of the following options is/are correct?