Question

What are the next two numbers in this pattern? 5, –30, 180, –1,080, . . ?

Answer 1

Previous number is multiplied by -6 to get the next number.

Answer 2

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

$r=\frac{-30}{5}=\frac{180}{-30}=\frac{-1080}{180}=-6$

The given sequence is a geometric sequence because it has a common ratio, i.e., -6.

First next term is

$-1080\times -6=6480$

Second next term is

$6480\times -6=-38880$

Therefore, the next two terms are 6480 and -38880.