Mathematics: Calculate the average rate of change for the graphed sequence from n = 2 to n = 4. graphed sequence showing (1, -3), (2, -3.5), (3, -6.75), (4, -10.125), (5, -15.1875), (6, -22.78125) a. -6.625 b. -03.3125 c. -3.0 d. -2.0

BOYS and di cks boys and di cksStep-by-step explanation:...

Calculate the average rate of change for the graphed

fireemblam101ovu1gt

01.01.2022

option: B is correct.

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 $(x_{1},y_{1})$ to $(x_{2},y_{2})$ is defined as:

$\dfrac{y_{2}- y_{1} }{x_{2}-x_{1}}$

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:

$\dfrac{-10.125-(-3.5)}{4-2}\\ \\=\dfrac{-6.625}{2}\\ \\=-3.3125$ .

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

Hence, option B is correct.

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