Answer
$\dfrac{1}{e},\dfrac{2}{e^2},\dfrac{3}{e^3},\dfrac{4}{e^4},\dfrac{5}{e^5}$
Work Step by Step
We are given the sequence:
$\{b_n\}=\left\{\dfrac{n}{e^n}\right\}$
Determine the first 5 terms of the sequence by substituting 1, 2, 3, 4, 5 for $n$:
$a_1=\dfrac{1}{e^1}=\dfrac{1}{e}$
$a_2=\dfrac{2}{e^2}$
$a_3=\dfrac{3}{e^3}$
$a_4=\dfrac{4}{e^4}$
$a_5=\dfrac{5}{e^5}$
