Answer
$24,8, \dfrac{8}{3},\dfrac{8}{9}, \dfrac{8}{27}$
Work Step by Step
The general formula to find the nth term of a Geometric sequence is given as: $ a_{n+1}=a_nr $
We are given that $ a_1=24$
$ a_2=a_1r = (24)(\dfrac{1}{3})=8 ;\\ a_3=a_2r = (8)(\dfrac{1}{3})=\dfrac{8}{3}; \\ a_4=a_3r = (\dfrac{8}{3})(\dfrac{1}{2})=\dfrac{8}{9} ; \\ a_5=a_4r = (\dfrac{8}{9})(\dfrac{1}{3})=\dfrac{8}{27}$
Hence, the first five terms are: $24,8, \dfrac{8}{3},\dfrac{8}{9}, \dfrac{8}{27}$
