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Home » This LG Monitor Outperforms Every Other One—Watch the Reviews Go Viral! - Sourci

This LG Monitor Outperforms Every Other One—Watch the Reviews Go Viral! - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 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 \( S_n \) of the first \( n \) terms is \( S_n = \frac{n}{2} (2a + (n-1)d) \).

📌 \( S_{20} = \frac{20}{2} (2 \times 5 + 19 \times 3) = 10 (10 + 57) = 10 \times 67 = 670 \).

📌 A sphere has a surface area of 314 square centimeters. Find its radius. Use the formula \( A = 4\pi r^2 \).

📌 Given \( A = 314 \), solve for \( r \):

📌 \( 4\pi r^2 = 314 \),

📌 \( r^2 = \frac{314}{4\pi} = \frac{314}{12.5664} \approx 25 \),

📌 \( r = \sqrt{25} = 5 \) cm.

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