Question

Tell whether the sequence is arithmetic if it is what is the common difference

2, 7, 13, 20

a. yes; 5
b. yes;6
c. yes;2
d. no

please help

Answer 1

It is letter d.

It can't be any of the others because 2+5=7, 7+6=13, and 13+7=20, so there is not one common number to tell the difference.

Answer 2

The correct option is d.

Explanation:

The given sequence is

2, 7, 13, 20,.....

We need to check whether the given sequence is arithmetic sequence or not.

A sequence is called an arithmetic sequence if the difference of any two consecutive terms is constant.

Difference between first two terms is

`d_1=a_2-a_1=7-2=5`

Difference between next two terms is

`d_2=a_3-a_2=13-7=8`

We can say that

`d_1\\eq d_2`

The given sequence has no common difference. So the given sequence is not an arithmetic sequence.

Therefore, the correct option is d.