A bc the Y numbers increase by 17 every time X increases by 1
The common difference of the associated arithmetic sequence is:
Option: A
17
We know that the sequence is said to be arithmetic if each of the sequence is differ by the preceding term by a fix constant which is known as a common difference.
i.e. d is called a common difference of the sequence if [tex]a_n\ and\ a_{n+1}[/tex]
are the nth and (n+1)th term of the sequence then,
[tex]a_{n+1}-a_n=d[/tex]
Here we have a table of values as:
X Y d
1 4
2 21 21-4=17
3 38 38-21=17
4 55 55-38=17
5 72 72-55=17
Hence, we get that the common difference is: 17
