Find the sum of \( n \) terms of the series whose \( n \)th term is \[ \frac{n^{4}+2 n^{3}+n^{2}...

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Find the sum of \( n \) terms of the series whose \( n \)th term is
\[
\frac{n^{4}+2 n^{3}+n^{2}-1}{n^{2}+n}
\]
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