Mathematics, 19.07.2019 22:00 itzia00
If $(a_1,a_2,\ldots, a_{17})$ satisfy \begin{align*} a_1 + a_2 + a_3 & = 1, \\ a_2 + a_3 + a_4 & = 2, \\ a_3 + a_4 + a_5 & = 3, \\ & ~~\vdots \\ a_{15} + a_{16} + a_{17} & = 15, \\ a_{16} + a_{17} + a_{1} & = 16, \\ a_{17} + a_{1} + a_{2} & = 17, \end{align*} what is the value of $a_{17}$?
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If $(a_1,a_2,\ldots, a_{17})$ satisfy \begin{align*} a_1 + a_2 + a_3 & = 1, \\ a_2 + a_3 + a_4 &...
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