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Home » How Pinch Pleat Curtains Elevate Your Home Decor in a Single Swipe! - AMAZONAWS

How Pinch Pleat Curtains Elevate Your Home Decor in a Single Swipe! - AMAZONAWS

How Pinch Pleat Curtains Elevate Your Home Decor in a Single Swipe

📅 March 6, 2026 👤 scraface

Mar 06, 2026

How Pinch Pleat Curtains Elevate Your Home Decor in a Single Swipe!

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📌 The area is \( 6 \times 12 = 72 \) square meters.

📌 Solution: Use partial fractions: $ \frac{1}{k(k+2)} = \frac{1}{2}\left( \frac{1}{k} - \frac{1}{k+2} \right) $. The sum becomes $ \frac{1}{2} \left( \sum_{k=1}^{50} \frac{1}{k} - \sum_{k=1}^{50} \frac{1}{k+2} \right) = \frac{1}{2} \left( \sum_{k=1}^{50} \frac{1}{k} - \sum_{k=3}^{52} \frac{1}{k} \right) $. Telescoping gives $ \frac{1}{2} \left( \frac{1}{1} + \frac{1}{2} - \frac{1}{51} - \frac{1}{52} \right) = \frac{1}{2} \left( \frac{3}{2} - \frac{103}{2652} \right) = \frac{1}{2} \cdot \frac{3975}{2652} = \frac{1325}{1768} $. \boxed{\dfrac{1325}{1768}}

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📌 Question:** A middle school student is exploring functions and their compositions. If \(f(x) = 3x - 2\) and \(g(x) = x^2 + 1\), what is \(g(f(4))\)?

📌 A' = \frac{\sqrt{3}}{4} (14)^2 = \frac{\sqrt{3}}{4} \cdot 196 = 49\sqrt{3} \text{ cm}^2

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