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

Answer:

The correct option is d.

Step-by-step 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

$d_1\neq d_2$

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

Therefore, the correct option is d.