Question 2
An infinite sequence $ a_{0}, a_{1}, a_{2}, \ldots $ of real numbers satisfies the condition
$$ a_{n}=\left|a_{n+1}-a_{n+2}\right|\text{for every}n\geq0 $$
with $a_{0}$ and $a_{1}$ positive and distinct. Can this sequence be bounded?
$$ a_{n}=\left|a_{n+1}-a_{n+2}\right|\text{for every}n\geq0 $$
with $a_{0}$ and $a_{1}$ positive and distinct. Can this sequence be bounded?