Answer
$$\frac{1}{2},\,\frac{1}{2},\,\frac{3}{8},\,\frac{1}{4},\,\frac{5}{{32}}$$
Work Step by Step
$$\eqalign{
& {a_n} = {\left( {\frac{1}{2}} \right)^n}\left( n \right) \cr
& \cr
& {\text{Complete for }}n = 1,2,3,4,5 \cr
& n = 1 \cr
& {a_1} = {\left( {\frac{1}{2}} \right)^1}\left( 1 \right) = \frac{1}{2} \cr
& \cr
& n = 2 \cr
& {a_2} = {\left( {\frac{1}{2}} \right)^2}\left( 2 \right) = \frac{1}{2} \cr
& \cr
& n = 3 \cr
& {a_3} = {\left( {\frac{1}{2}} \right)^3}\left( 3 \right) = \frac{3}{8} \cr
& \cr
& n = 4 \cr
& {a_4} = {\left( {\frac{1}{2}} \right)^4}\left( 4 \right) = \frac{1}{4} \cr
& \cr
& n = 5 \cr
& {a_5} = {\left( {\frac{1}{2}} \right)^5}\left( 5 \right) = \frac{5}{{32}} \cr
& \cr
& {\text{The first five terms of the sequence are:}} \cr
& \frac{1}{2},\,\frac{1}{2},\,\frac{3}{8},\,\frac{1}{4},\,\frac{5}{{32}} \cr} $$
