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Home » You Won’t Believe How This SoBe Drink Boosts Your Energy Instantly! - Tacotoon

You Won’t Believe How This SoBe Drink Boosts Your Energy Instantly! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 This is a telescoping sum. Write out the first few terms:

📌 \left( \frac{1}{1} - \frac{1}{3} \right) + \left( \frac{1}{2} - \frac{1}{4} \right) + \left( \frac{1}{3} - \frac{1}{5} \right) + \cdots + \left( \frac{1}{50} - \frac{1}{52} \right).

📌 \frac{1}{2} \left( 1 + \frac{1}{2} - \frac{1}{51} - \frac{1}{52} \right).

📌 Compute the sum:

📌 \frac{1}{2} \left( \frac{3}{2} - \frac{1}{51} - \frac{1}{52} \right).

📌 Find a common denominator for the subtracted terms:

📌 \frac{1}{51} + \frac{1}{52} = \frac{52 + 51}{51 \cdot 52} = \frac{103}{2652}.

📌 \boxed{\frac{3875}{5304}}

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