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 8 23 38 53 68
a. 15
b. 7
c. 1
d. 21

Answer 1

The common difference of the arithmetic sequence is 15.

The correct option is (a)

what is Arithmetic Sequence?

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

$d=\frac{y_2-y_2}{x_2-x_1}$

Let us take any two points: (1,8) and (2,23)

Then, d = $\frac{23-8}{2-1}$

          d= 15

Learn more Arithmetic sequence here:

brainly.com/question/12964865

#SPJ1