Find the sum of \( n \) terms of the series: \[ \frac{7}{1 \cdot 2 \cdot 3}-\frac{17}{2 \cdot 3 ...
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Find the sum of \( n \) terms of the series:
\[
\frac{7}{1 \cdot 2 \cdot 3}-\frac{17}{2 \cdot 3 \cdot 4}+\frac{31}{3 \cdot 4 \cdot 5}-\frac{49}{4 \cdot 5 \cdot 6}+\frac{71}{5 \cdot 6 \cdot 7}-\ldots
\]
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