Answer:
The common ratio of the sequence is –2, 4, –8, 16, –32, ... is - 2.
Step-by-step explanation:
Geometric sequence is written as
a , ar , ar² , ar³,........
Where a is the first term and r is the common ratio.
[tex]r = \frac{ar}{a}[/tex]
As given the sequence
–2, 4, –8, 16, –32, ......
a = - 2
ar = 4
Thus
[tex]r = \frac{-4}{2}[/tex]
r = -2
Therefore the common ratio of the sequence is –2, 4, –8, 16, –32, ... is - 2.
