The values in the table represent a linear function. what is the common difference of the associated arithmetic sequence?
x y
1 4
2 21
3 38
4 55
5 72
choices
a. 17
b. 1
c. 19
d. 3

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

are the nth and (n+1)th term of the sequence then,

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