JEE Main 2022 · 27 Jun · Shift 1, Mathematics question 3

If $x=\displaystyle\sum_{n=0}^\infty a^n$, $y=\displaystyle\sum_{n=0}^\infty b^n$, $z=\displaystyle\sum_{n=0}^\infty c^n$, where $a,b,c$ are in A.P. and $|a|<1$, $|b|<1$, $|c|<1$, $abc\ne0$, then :