Question

Which of the following is an arithmetic sequence

Answer 1

Answer:

D

Step-by-step explanation:

they all add up by 3

Answer 2

Answer:

The arithmetic sequence is: Option: D

                  D.   3,6,9,12,15

Step-by-step 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.