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

The next two terms are 6480 and -38880.

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=(-30)/(5)=(180)/(-30)=(-1080)/(180)=-6`

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

First next term is

`-1080* -6=6480`

Second next term is

`6480* -6=-38880`

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