Answer
The first five terms are:
$b_1 = \dfrac{1}{e};
\\b_2= \dfrac{2}{e^2};
\\b_3= \dfrac{3}{e^3};
\\b_4= \dfrac{4}{e^4};
\\b_5= \dfrac{5}{e^5}$
Work Step by Step
Substitute $n=1, 2, 3, 4, 5$ to obtain:
$b_1 = \dfrac{1}{e^1}=\dfrac{1}{e};
\\b_2= \dfrac{2}{e^2};
\\b_3= \dfrac{3}{e^3};
\\b_4= \dfrac{4}{e^4};
\\b_5= \dfrac{5}{e^5}$