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📰 \sum_{k=1}^{50} \frac{1}{k(k+2)} = \frac{1}{2} \sum_{k=1}^{50} \left( \frac{1}{k} - \frac{1}{k+2} \right) 📰 \frac{1}{2} \left[ \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) \right] 📰 Most terms cancel. The surviving positive terms are \(\frac{1}{1}, \frac{1}{2}\), and the surviving negative terms are \(-\frac{1}{51}, -\frac{1}{52}\) (since \(k+2 = 51, 52\) have no positive counterparts to cancel them). 📰 Georgia Institute Of Technology Acceptance Rate 3385435 📰 Can Wall Ebay Canada Unlock Your Hidden Treasures Secret Finds Inside 7326671 📰 Deaths From Bull Riding 6613210 📰 Final Jeopardy Question 4853799 📰 Just Saw Plusle Do Something You Never Thought Possible Click To Unlock The Truth 5190599 📰 Did You Pass The In Possible Quiz Impossible Answers That Made Heat Up 2021929 📰 Hotels Close To Santa Monica 3666681 📰 Brilliant Bus Drawing Technique Preparation Going Virallearn It Now 6667453 📰 Hidden Behind The Electricman Label Listen To What No One Wants You To Hear 693273 📰 Pre Approved Credit Card Bank Of America 4897380 📰 Yo This Shocking Error 429 Will Crash Your Apis Without Warningheres How 4666698 📰 Cash4Life Florida 962874 📰 Shocking Eaton Stock Breakthrough Learn Whats Driving Its Vertical Thrive 8135431 📰 Sea Bass Secrets Youve Never Heard Before 8823187 📰 Wells Fargo Cd Interest 4942688