Question

Which of the following is an arithmetic sequence

Answer 1

D

Explanation:

they all add up by 3

Answer 2

The arithmetic sequence is: Option: D

D. 3,6,9,12,15

Explanation:

We know that a sequence is an arithmetic sequence if each of the term of the sequence exceeds it's preceding sequence by a constant term which is known as a common difference of a sequence.

A)

1,4,5,9,14

Now we calculate the difference between the terms as:

`4-1=3\\\\5-4=1\\\\9-5=4\\\\14-9=5`

As the difference is not same.

Hence, option: A is not an arithmetic sequence.

B)

6,13,19,32,51

The difference is calculated as:

`13-6=7\\\\19-13=6\\\\32-19=13\\\\51-32=19`

As the difference is not same.

Hence, option: B is not an arithmetic sequence.

C)

3,5,8,13,21

The difference is calculated as:

`5-3=2\\\\8-5=3\\\\13-8=5\\\\21-13=8`

As the difference is not same.

Hence, option: C is not an arithmetic sequence.

D)

3,6,9,12,15

The difference is calculated as:

`6-3=3\\\\9-6=3\\\\12-9=3\\\\15-12=3`

As the difference is same.

Hence, option: D is an arithmetic sequence.