Find the common difference of the arithmetic sequence

6

Step-by-step explanation:

Common difference of an arithmetic progression is the difference between the preceding term and the succeeding term of the sequence.

Given the arithmetic sequence 4,10,16,22...

To calculate the common difference, first, we say let the first term be T1, second term be T2, third term be T3 and the fourth term be T4.

Taking the difference of the terms to know the common difference can be gotten as thus;

T2-T1 = T3-T2 = T4-T3 = k

The value of k must be the same for all the difference. This will give;

10-4 = 16-10 = 22-16 = 6

Since their difference gave the same value, therefore the common difference of the sequence is 6

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.