Answer:
[tex]\frac{48}{7}[/tex]
Step-by-step explanation:
The common ratio r is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{7} }{-\frac{1}{7} }[/tex] = - 4
To obtain the next term multiply the previous term by - 4 , that is
next term = - [tex]\frac{16}{7}[/tex] × - 4 = [tex]\frac{48}{7}[/tex]