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

Answer:

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

Answer:

The common difference of the arithmetic sequence is 14.

Step-by-step 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

$d=\frac{y_2-y_1}{x_2-x_1}$

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

$d=\frac{25-11}{2-1}$

$d=\frac{14}{1}$

$d=14$

Therefore the common difference of the arithmetic sequence is 14.