Unclassified (maths): JEE Main 2025 Mathematics question

Let $E_1: \frac{x^2}{5} + \frac{y^2}{4} = 1$ be an ellipse. Ellipses $E_i$ 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 $\frac{5}{\pi} \left( \sum_{i=1}^{\infty} A_i \right)$, is equal to