Let $\mathrm { E } _ { 1 } : \frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$ be an ellipse. Ellipses $\mathrm { E } _ { i }$ 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