Question

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

x y
1 9
2 22
3 35
4 48
5 61

answer choices: a)  9 
                           b)  8
                           c)  1
                           d)  13

Answer 1

the common difference is d.13

Answer 2

Answer: Common difference is 13.

d) 13

Explanation:

We are given a table of values of x and y.

x y

1 9

2 22

3 35

4 48

5 61

We need to find the common difference of of the associated arithmetic sequence.

We can see that y values 9,22, 35, 48, 61 makes an arithmetic sequence.

Because all differences are same.

22-9 = 13

35-22 = 13

48-35 = 13 and

61 - 48 = 13.

That is 13.

Therefore, common difference is 13.