Скачать или смотреть Let E₁: x²/9 + y²/4 = 1 be an ellipse. Ellipses Eᵢ are constructed such that their centres and ecc..

Shift 28 Jan – Shift 1

Question:
Let E₁: x²/9 + y²/4 = 1 be an ellipse. Ellipses Eᵢ are constructed such that their centres and eccentricities are the same as that of E₁, and the length of the minor axis of Eᵢ is the length of the 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:
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