Ellipse

Let E1:‌

x2

9

+‌

y2

4

=1 be an ellipse. Ellipses Ei 's is constructed such that their centres and eccentricities are same as that of E1, and length of minor axis of Ei is the length of major axis of Ei+1(i≥1). If Ai is the area of the ellipse Ei, then ‌

5

π

(

∞

∑

i=1

Ai), is equal to ______