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Home » The rationalized form is $ oxed{rac{5 + \sqrt21}2} $. - High Altitude Science

The rationalized form is $ oxed{rac{5 + \sqrt21}2} $. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \( r^5 = (11/10)^5 = 161051 / 100000 = 1.61051 \)

📌 Sum = \( \frac{1 - 1.61051}{1 - 1.1} = \frac{-0.61051}{-0.1} = 6.1051 \)

📌 So \( x = 240 / 6.1051 = 24000000 / 610510 ≈ 3932 / 100.051 ≈ 39.32 \) — but scale: divide numerator and denominator by 240: better direct:

📌 \( x = 240 / 6.1051 ≈ 39.32 \)

📌 But for consistency with format, report as decimal.

📌 Actually, the expected answer is the closest whole number that fits the model.

📌 Try integer x = 39:

📌 Sum = 39*(1 - 1.1^5)/(1 - 1.1) = 39*6.1051 ≈ 238.01 — close to 240

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