Question
Find the first four partial sums and the $n$th partial sum of the sequence $a_{n}$.$a_{n}=\log \left(\frac{n}{n+1}\right)$ [Hint: Use a property of logarithms to write the $n$ th term as a difference.]
Step 1
We can use the property of logarithms that $\log \left(\frac{a}{b}\right) = \log a - \log b$ to rewrite this as $a_{n}=\log n - \log (n+1)$. Show more…
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Find the first four partial sums and the $n$th partial sum of the sequence $a_{n} .$ $a_{n}=\log \left(\frac{n}{n+1}\right)$ [Hint: Use a property of logarithms to write the $n$th term as a difference.]
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