Find the Fourth Term of the Recursively Defined Infinite Sequence $$a _ { 1 } = 110 , a _ { k + 1 } = \frac { 1 } { 2 } a _ { k }$$

Multiple Choice

Find the fourth term of the recursively defined infinite sequence. $$a _ { 1 } = 110 , a _ { k + 1 } = \frac { 1 } { 2 } a _ { k }$$

A) $a _ { 4 } = 17 \frac { 3 } { 4 }$
B) $a _ { 4 } = 18 \frac { 3 } { 16 }$
C) $a _ { 4 } = 13 \frac { 3 } { 4 }$
D) $a _ { 4 } = \frac { 3 } { 4 }$
E) $a _ { 4 } = 18 \frac { 3 } { 4 }$