Answer:
[tex]\frac{2}{81}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms in the sequence
r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]
To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then
a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]
