Answer
$a_{1}=-24$
$a_{2}=-4$
$a_{3}=-\frac{2}{3}$
$a_{4}=-\frac{1}{9}$
$a_{5}=-\frac{1}{54}$
Work Step by Step
We are given:
$a_{n}=\frac{a_{n-1}}{6}$ and $a_{1}=-24$
We evaluate:
$a_{2}=\frac{a_{1}}{6}=\frac{-24}{6}=-4$
$a_{3}=\frac{a_{2}}{6}=\frac{-4}{6}=-\frac{2}{3}$
$a_{4}=\frac{a_{3}}{6}=\frac{-\frac{2}{3}}{6}=-\frac{2}{3*6}=-\frac{2}{18}=-\frac{1}{9}$
$a_{5}=\frac{a_{4}}{6}=\frac{-\frac{1}{9}}{6}=-\frac{1}{9*6}=-\frac{1}{54}$