Define the type of sequence below. -2,0,2,4,6 ...... A. both arithmetic and geometric B. arithmetic C. neither arithmetic nor geometric D. geometric

Question

asked Mar 20, 2020 181k views

1 Answer

Ben Scmidth · Answer 1 · 2020-03-25T22:44:06+0000

Answer:

Option B - Arithmetic sequence

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

(0)/(-2)=0

$(2)/(0)=\infty$

(4)/(2)=2

(6)/(4)=(3)/(2)

So, There is no common ratio.

Therefore, It is not a geometric sequence.

Therefore, option B is correct.