## The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence? X Y 1

Question

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

in progress 0
1 week 2021-11-23T13:10:19+00:00 2 Answers 0

The common difference of the associated arithmetic sequence is:

Option: A

17

## Step-by-step explanation:

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

2. A bc the Y numbers increase by 17 every time X increases by 1