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\[ D_{n}=\left|\begin{array}[c]{cccc}1 & 1 &\ldots & 1\\ a_{1}& a_{2}&\ldots & a_{n}\\ a_{1}^{2}& a_{2}^{2}&\ldots & a_{n}^{2}\\ \vdots & & &\\ a_{1}^{n-1}& a_{2}^{n-1}&\ldots & a_{n}^{n-1}\end{array}\right| . \]

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