Write Four Additional Terms of the Geometric Sequence $a _ { n } = 1 - \frac { 1 } { a _ { n } - 1 }$

Multiple Choice

Write four additional terms of the geometric sequence.
-Find the first six terms of the sequence with first term 3 and nth term $a _ { n } = 1 - \frac { 1 } { a _ { n } - 1 }$ .

A) $3 , - \frac { 2 } { 3 } , \frac { 5 } { 2 } , \frac { 3 } { 5 } , - \frac { 2 } { 3 } , \frac { 5 } { 3 }$
B) $3 , \frac { 2 } { 3 } , \frac { 1 } { 2 } , - 1,2 , \frac { 1 } { 2 }$
C) $3 , \frac { 2 } { 3 } , - \frac { 1 } { 2 } , 3 , \frac { 2 } { 3 } , - \frac { 1 } { 2 }$
D) $3 , \frac { 2 } { 3 } , - \frac { 1 } { 2 } , - 3 , \frac { 4 } { 3 } , \frac { 1 } { 4 }$