Question

the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11 25 39 53 67

Answer 1

common difference: 14

Step-by-step explanation: You have to find out what number it takes to add to the number to get the following number. ex 11+14=25 25+14=39 etc

Answer 2

The common difference of the arithmetic sequence is 14.

Explanation:

The arithmetic sequence is defined as

x: 1 2 3 4 5

y: 11 25 39 53 67

The common difference of the arithmetic sequence is

`d=(y_2-y_1)/(x_2-x_1)`

Consider any two points, i.e.,(1,11) and (2,25).

`d=(25-11)/(2-1)`

`d=(14)/(1)`

`d=14`

Therefore the common difference of the arithmetic sequence is 14.