Dots, ka \(\left|a_{1}-a_{2}\right|=2\left|a_{2}-a_{3}\right|=3\left|a_{3}-a_{4}\right|=\ldots=20\left|a_{20}-a_{1}\right|\).

Pierādīt, ka \(a_{1}=a_{2}=a_{3}=\ldots=a_{20}\).