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So: max(R) < min(L) - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 ight)^3 - 3\left(x + rac{1}{x}

📌 x + rac{1}{x} = 3

📌 x^3 + rac{1}{x^3} = 3^3 - 3 \cdot 3 = 27 - 9 = 18

📌 Question: A sequence of five real numbers forms an arithmetic progression. The sum of the first and fifth terms is $14$, and the sum of the second and fourth terms is $10$. Find the third term.

📌 Let the five terms of the arithmetic progression be:

📌 a - 2d, \, a - d, \, a, \, a + d, \, a + 2d

📌 First term + Fifth term: $(a - 2d) + (a + 2d) = 2a = 14 \Rightarrow a = 7$

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