Recurring Styles #3 - A Twisted Recurrence!

Algebra Level 5

\[\large{x_{n+2} = \dfrac{x_nx_{n+1}}{5x_n - 4x_{n+1}}}\]

with \(x_0 = 2; x_1 = 3\).

Let \((x_n)_{n=0}^\infty\) be a sequence that satisfies the above recurrence relation. Then find the value of \(\large{{\left\lfloor \frac{x_{10}}{x_{20}} \right\rfloor}}\).

×

Problem Loading...

Note Loading...

Set Loading...