Register
The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between n=2 and n=4 A. - 1/4 B. 1/4 C. -4 D. 4
126k views
1 vote
The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between n=2 and n=4

A. - 1/4
B. 1/4
C. -4
D. 4

The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between-example-1
User Kfir Dadosh
by
8.1k points

1 Answer

6 votes
the average rate of change, is pretty much just the "slope" of the graph, therefore since we know that when n = 2, y = 9, notice the point (2,9), and when n = 4, y = 1, notice the point (4,1), thus


\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 2 &,& 9~) % (c,d) &&(~ 4 &,& 1~) \end{array} \\\\\\ % slope = m \stackrel{\textit{average rate of change}}{slope} = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-9}{4-2}\implies \cfrac{-8}{2}\implies -4
User Chris McKee
by
8.1k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!