Let \( E_1 : \frac{x^2}{9} + \frac{y^2}{4} = 1 \) be an ellipse. Ellipses \( E_i \)'s are constructed such that their centres and eccentricities are same as that of \( E_1 \), and the length of minor axis of \( E_i \) is the length of major axis of \( E_{i+1} \) \( (i \geq 1) \). If \( A_i \) is the area of the ellipse \( E_i \), then \( \frac{5}{\pi}\left( \displaystyle \sum_{i=1}^{\infty} A_i \right) \) is equal to ______.
