system of equations.

\hspace{-16}$If $\mathbf{a_{1}\;,a_{2}\;,a_{3},.......,a_{n}}$ are non negative real no., Then find $\mathbf{a_{10}}$ in system of\\\\ equations\\\\ $\mathbf{\begin{Vmatrix} a_{1}+a_{2}+a_{3}+.........+a_{10}=104 \\\\ a_{1}+2a_{2}+3a_{3}+..........10a_{10}= 740\\\\ a_{1}+4a_{2}+9a_{3}+..........100a_{10}= 530 \\\\ a_{1}+16a_{2}+27a_{3}+..........1000a_{10}= 38300 \end{Vmatrix}}$