The Simultaneous Equations Problem – math.stackexchange.com

Given $\begin{cases} ax + by = 4 \\ ax^2 + by^2 = 8 \\ ax^3 + by^3 = 17 \\ ax^4 + by^4 = 42 \end{cases} $ Determine the value of $ax^5 + by^5$ Do you have any brilliant idea to solve this ...

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