Answer
$\dfrac{4}{3},\dfrac{16}{9},\dfrac{64}{27},\dfrac{256}{81},\dfrac{1024}{243}$
Work Step by Step
We are given the sequence:
$\{s_n\}=\left\{\left(\dfrac{4}{3}\right)^n\right\}$
Determine the first 5 terms of the sequence by substituting 1, 2, 3, 4, 5 for $n$:
$s_1=\left(\dfrac{4}{3}\right)^1=\dfrac{4}{3}$
$s_2=\left(\dfrac{4}{3}\right)^2=\dfrac{16}{9}$
$s_3=\left(\dfrac{4}{3}\right)^3=\dfrac{64}{27}$
$s_4=\left(\dfrac{4}{3}\right)^4=\dfrac{256}{81}$
$s_5=\left(\dfrac{4}{3}\right)^5=\dfrac{1024}{243}$
