Question 11
Let $x_1,x_2,\ldots,x_5$ be real numbers such that
$$\begin{aligned}|x_2-x_1|&=2|x_3-x_2|=3|x_4-x_3|\\&=4|x_5-x_4|=5|x_1-x_5|.\end{aligned}$$
Prove that these five real numbers are equal.
$$\begin{aligned}|x_2-x_1|&=2|x_3-x_2|=3|x_4-x_3|\\&=4|x_5-x_4|=5|x_1-x_5|.\end{aligned}$$
Prove that these five real numbers are equal.