Answer:
The next two terms are 6480 and -38880.
Step-by-step explanation:
The given pattern is
5, –30, 180, –1,080, . .
We need to find next two numbers of given pattern.
The ratio of two consecutive terms are
[tex]r=\frac{-30}{5}=\frac{180}{-30}=\frac{-1080}{180}=-6[/tex]
The given sequence is a geometric sequence because it has a common ratio, i.e., -6.
First next term is
[tex]-1080\times -6=6480[/tex]
Second next term is
[tex]6480\times -6=-38880[/tex]
Therefore, the next two terms are 6480 and -38880.
