Question

What is the next term of the geometric sequence? -1/7,4/7,-16/7

Answer 1

Answer:

$\frac{48}{7}$

Step-by-step explanation:

The common ratio r is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{\frac{4}{7} }{-\frac{1}{7} }$ = - 4

To obtain the next term multiply the previous term by - 4 , that is

next term = - $\frac{16}{7}$ × - 4 = $\frac{48}{7}$