A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5
anonymous
 one year ago
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5

This Question is Open

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[a_1=8=2^3\] \[a_2=4=2^2\] \[a_4=1=2^0\] \[a_5=0.5=2^{1}\] this one's not in there but you should see the pattern well enough to write the sequence \[a_3=2=2^1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi those look like none of my question choices. im so confued

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the pattern between points is multiplying by ½, so that's the common ratio, r. The sequence is geometric. The formula for a geometric sequence is \[a_n=a_1 r^{n1}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0r is ½. a_1 is the first term of the sequence

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5 A) an = 8(one half)n − 1; average rate of change is −3 B) an = 10(one half)n − 1; average rate of change is 3 C)an = 8(one half)n − 1; average rate of change is 3 D) an = 10(one half)n − 1; average rate of change is −3 Those are my answer choices @peachpi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. use the formula I just put up to get a formula for a_n

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1435250004835:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi what would the correct answer be

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0your terms represent a geometric sequence, whose first term is 8 and the constant is 1/2. Now the general term of a geometric sequence is given by the subsequent formula: \[\Large {a_n} = {a_1}{q^{n  1}}\] please substitute q=1/2 and a_1=8, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\Large {a_n} = {a_1}{q^{n  1}} = 8 \times {\left( {\frac{1}{2}} \right)^{n  1}}\] am I right?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0ok! that is your answer!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A) an = 8(one half)n − 1; average rate of change is −3 B) an = 10(one half)n − 1; average rate of change is 3 C)an = 8(one half)n − 1; average rate of change is 3 D) an = 10(one half)n − 1; average rate of change is −3 out of these which woud it be?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0for example if we set n=2, we get: \[\Large {a_2} = 8 \times {\left( {\frac{1}{2}} \right)^{2  1}} = 8 \times \frac{1}{2} = 4\] similarly for other terms

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0if we set n=3, we get: \[\Large {a_3} = 8 \times {\left( {\frac{1}{2}} \right)^{3  1}} = 8 \times \frac{1}{{{2^2}}} = 8 \times \frac{1}{4} = 2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0still confused for what the avg. rate of change would be

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0now the requested change rate, can be this:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0\[\large r = \frac{{{a_1} + {a_2} + {a_3} + {a_4}}}{4} = \frac{{8 + 4 + 2 + 0.5}}{4} = ...\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the correct answer is C?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.