Question
For the sequence w defined by $w_{n}=\frac{1}{n}-\frac{1}{n+1}, \quad n \geq 1$.Find a formula for the sequence $c$ defined by$$c_{n}=\sum_{i=1}^{n} w_{i}$$
Step 1
Step 1: First, we write down the given sequence $w_{n}=\frac{1}{n}-\frac{1}{n+1}$ and the sequence $c$ that we want to find, which is defined by $c_{n}=\sum_{i=1}^{n} w_{i}$. Show more…
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