Question

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

X | 1 2 3 4 5
Y | 4 21 38 55 72
A) 19
B) 17
C) 3
D) 1"

Answer 1

The common difference of the associated arithmetic sequence is 17.

Step-by-step explanation:

The table represents a linear function because there is a constant difference between the y-values for each x-value. To find the common difference, we can subtract the y-values of consecutive points. Taking the differences between the y-values, we get:

(21-4) = 17
(38-21) = 17
(55-38) = 17
(72-55) = 17

The common difference is 17, so the answer is B) 17.