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How One Portable AC Fix Solved My Summer Heat Woes—Share Now! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 S_5 = 3(1 + r + r^2 + r^3 + r^4) = 3 \cdot rac{r^5 - 1}{r - 1} \quad ext{(for } r

📌 e 1 ext{)}

📌 \cdot rac{r^5 - 1}{r - 1} > 300

📌 rac{r^5 - 1}{r - 1} > 100

📌 We test integer values of $ r > 1 $ (since $ r = 1 $ gives $ S_5 = 15 $, too small):

📌 For $ r = 2 $:

📌 rac{32 - 1}{2 - 1} = 31 \quad \Rightarrow \quad 3 \cdot 31 = 93 < 300

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