$\displaystyle a, b, x, y$ are real numbers.
When they satisfy the equations $\displaystyle ax+by=3$, $\displaystyle ax^2+by^2=5$, $\displaystyle ax^3+by^3=9$, $\displaystyle ax^4+by^4=17$, find the value of $\displaystyle ax^5+by^5$.
Please help!
$\displaystyle a, b, x, y$ are real numbers.
When they satisfy the equations $\displaystyle ax+by=3$, $\displaystyle ax^2+by^2=5$, $\displaystyle ax^3+by^3=9$, $\displaystyle ax^4+by^4=17$, find the value of $\displaystyle ax^5+by^5$.
Please help!