Calculate the average rate of change for the graphed sequence from n=2 to n=4

Step-by-step explanation:

we are given the coordinates (x,y) as:

(1,-3),(2,-3.5),(3,-6.75),(4,-10.125),(5,-15.1875),(6,-22.78125).

The average rate of change from  to  is defined as:

here we are asked to find the average rate of change for the graphed sequence from n=2 to n=4.

i.e. we need to find average rate of change from (2,-3.5) to (4,-10.125) is given by:

.

Hence the average rate of change from n=2 to n=4 is: -3.3125.

Hence, option B is correct.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value