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Home » For the sphere with radius \(2x\): - High Altitude Science

For the sphere with radius \(2x\): - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question**: Simplify \( rac{3x^2 + 6x}{3x} \) for \( x

📌 Factor the numerator: \( rac{3x(x + 2)}{3x} \).

📌 Cancel \( 3x \) in numerator and denominator: \( x + 2 \).

📌 The simplified expression is \( x + 2 \).

📌 #### x + 2

📌 Question**: Find the sum of the first 20 terms of the arithmetic sequence where the first term is 5 and the common difference is 3.

📌 The formula for the sum of the first \( n \) terms is \( S_n = rac{n}{2} (2a + (n - 1)d) \).

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