If \( s_{n} \) denote the sum of the firstn naturial numbers, prove that \[ \begin{array}{l} \te...
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0If \( s_{n} \) denote the sum of the firstn naturial numbers, prove that
\[
\begin{array}{l}
\text { (1) }(1-x)^{-3}=s_{1}+s_{2} x+s_{3} x^{2}+\ldots+s_{n} x^{n-1}+\ldots \\
\text { (2) } 2\left(s_{1} s_{2 n}+s_{2} s_{2 n-1}+\ldots+s_{n} s_{n+1}\right)=\frac{2 n+4}{5 !(2 n-1) !}
\end{array}
\]
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