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Home » 第 \( n \) 項 \( a_n = S_n - S_n-1 \) です。 - Groen Casting

第 \( n \) 項 \( a_n = S_n - S_n-1 \) です。 - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Plugging in the known values:

📌 100^2 = 5200 + 2xy

📌 = 5200 + 2xy

📌 2xy = 4800 \quad \Rightarrow \quad xy = 2400

📌 Now, we use another identity for cubes:

📌 We already know \( x + y = 100 \), \( x^2 + y^2 = 5200 \), and \( xy = 2400 \). So:

📌 x^2 - xy + y^2 = 5200 - 2400 = 2800

📌 x^3 + y^3 = 100 \times 2800 = 280000

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