A Recursion Formula and the Initial Term(s) of a Sequence $$a _ { 1 } = 2 , a _ { n + 1 } = \frac { ( - 1 ) ^ { n + 1 } } { a _ { n } }$$

Multiple Choice

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
- $$a _ { 1 } = 2 , a _ { n + 1 } = \frac { ( - 1 ) ^ { n + 1 } } { a _ { n } }$$

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