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Home » 50+ Stunning Feliz Navidad Images You Need to Share Today! - Sterling Industries

50+ Stunning Feliz Navidad Images You Need to Share Today! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 \frac{1}{n(n+2)} = \frac{1}{2} \left( \frac{1}{n} - \frac{1}{n+2} \right).

📌 \sum_{n=1}^{50} \frac{1}{n(n+2)} = \frac{1}{2} \sum_{n=1}^{50} \left( \frac{1}{n} - \frac{1}{n+2} \right).

📌 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:

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Solve for x: 3x - 7 = 2x + 5.
Subtract 2x from both sides: 3x - 2x - 7 = 5.
Simplify: x - 7 = 5.
Add 7 to both sides: x = 12.
A rectangle has a perimeter of 50 meters and a length that is twice it...
Perimeter = 2(length + width) = 2(2w + w) = 6w = 50 meters.
Solve for w: w = 50 / 6 = 8.33 meters (approximately).
Length = 2w = 16.67 meters (approximately).
Dimensions: Width = 8.33 meters, Length = 16.67 meters.
#### Width = 8.33 meters, Length = 16.67 meters

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