Simplify the result:
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- \sum_{n=1}^{50} \left( \frac{1}{n} - \frac{1}{n+1} \right)
- Observe the telescoping nature:
- The series expands as:
- A science policy analyst is reviewing a proposal for a rectangular solar panel installation. The perimeter of the rectangle is 80 meters. What is the largest possible area of the rectangle?
- To maximize the area of a rectangle with a fixed perimeter, the rectangle should be a square.
- Set up the perimeter equation:
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