Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
georgejafacules
Group Title
Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in the sequence? What happens to the sum of this geometric sequence? (This question has one right answer.) Give an example of a geometric sequence to illustrate your reasoning. (Many answers are possible.)
 one year ago
 one year ago
georgejafacules Group Title
Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in the sequence? What happens to the sum of this geometric sequence? (This question has one right answer.) Give an example of a geometric sequence to illustrate your reasoning. (Many answers are possible.)
 one year ago
 one year ago

This Question is Closed

Jnlucero Group TitleBest ResponseYou've already chosen the best response.1
the next terms in the sequence will be multiplied by c, but the common ratio is still the same... so let m,n,o,p,.... be the gometric sequence with common ratio r. thus the sequence cm,cn,co,cp,...... will also have the common ratio r. so the sum will be\[S_{n}=\frac{ a_1r^na_1 }{ r1 } = \frac{ cmr^ncm }{ r1 }=c\frac{ mr^nm }{ r1 }\]. take note that the first factor is c and the second is the sum of the sequence m,n,o,p,.....
 one year ago

Jnlucero Group TitleBest ResponseYou've already chosen the best response.1
so the sum of the sequence m,n,o,p,..... when multiplied by c gives the sum of the sequence cm,cn,co,cp,......
 one year ago

Jnlucero Group TitleBest ResponseYou've already chosen the best response.1
example..... 1,3,9,27, here, r=3. let the multiplier be 4. then the sequence 4, 12,36,108, has still the common ratio 3. for 1,3,9,27, \[S=\frac{ 1(3)^41 }{ 31 }=80/2=40\] for 4,12,36,108\[S=\frac{ 4(3)^4 4 }{ 31 }=320/2 = 160\] thus it was shown
 one year ago
See more questions >>>
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.