If $A = 1 + {r^z} + {r^{2z}} + {r^{3z}} + .......\infty $,  then the value of $r$ will be

  • A

    $A{(1 - A)^z}$

  • B

    ${\left( {\frac{{A - 1}}{A}} \right)^{1/z}}$

  • C

    ${\left( {\frac{1}{A} - 1} \right)^{1/z}}$

  • D

    $A{(1 - A)^{1/z}}$

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