If $x=\sum \limits_{n=0}^{\infty} a^{n}, y=\sum\limits_{n=0}^{\infty} b^{n}, z=\sum\limits_{n=0}^{\infty} c^{n}$, where $a , b , c$ are in $A.P.$ and $|a| < 1,|b| < 1,|c| < 1$, $abc \neq 0$, then
If $x=\sum \limits_{n=0}^{\infty} a^{n}, y=\sum\limits_{n=0}^{\infty} b^{n}, z=\sum\limits_{n=0}^{\infty} c^{n}$, where $a , b , c$ are in $A.P.$ and $|a| < 1,|b| < 1,|c| < 1$, $abc \neq 0$, then
- [JEE MAIN 2022]
- A
$x, y, z$ are in $A.P.$
- B
$\frac{1}{x}, \frac{1}{y}, \frac{1}{z}$ are in $A.P.$
- C
$x, y, z$ are in $G.P.$
- D
$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1-(a+b+c)$
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- [KVPY 2018]