Question

Define the type of sequence below.

Answer 1

Answer:

Option B - Arithmetic sequence

Step-by-step explanation:

Given : Sequence -2,0,2,4,6 ......  

To find : Define the type of sequence?

Solution :

There are two type of sequence arithmetic and geometric.      

In arithmetic sequence the difference between the term is constant.

Difference are

$0-(-2)=2\\2-0=2\\4-2=2\\6-4=2$

So, There is a common difference.

Therefore, It is an arithmetic sequence.

In geometric sequence the ratio between the term is constant.

Ratio are

$\frac{0}{-2}=0$

$\frac{2}{0}=\infty$

$\frac{4}{2}=2$

$\frac{6}{4}=\frac{3}{2}$

So, There is no common ratio.

Therefore, It is not a geometric sequence.

Therefore, option B is correct.