Question 185
An infinite sequence $a_{0}, a_{1}, a_{2}, \ldots$ of real numbers satisfies the condition $a_{n}=\left|a_{n+1}-a_{n+2}\right|$ for all $n \geq 0$, where $a_{0}$ and $a_{1}$ are different positive numbers.
Can this sequence be limited? The answer must be justified.
Can this sequence be limited? The answer must be justified.