Answer:
The given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
7, 10, 13, 16, ...
Here
[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]
In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.
So,
[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]
As we can see that the common difference is same for consecutive terms.
The given sequence is an arithmetic sequence.
