Mathematics
7 Online
OpenStudy (anonymous):
Determine whether the sequence converges or diverges. If it converges, give the limit.
60, -10,5/3 ,-5/18 , ...
medal!!
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
i know it is converges, but im not sure on the number? would it be 72 or 0?
jimthompson5910 (jim_thompson5910):
how do you know it converges?
OpenStudy (anonymous):
oh wait would it be diverge because it is going to an undefined number?
jimthompson5910 (jim_thompson5910):
what type of sequence is this?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
pretty sure it is converge because it is like 2
jimthompson5910 (jim_thompson5910):
what do you mean by " it is like 2" ?
OpenStudy (anonymous):
a certain value
OpenStudy (anonymous):
defined value
OpenStudy (anonymous):
it is a diverge (: thanks
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
what are your answer choices again?
OpenStudy (anonymous):
Diverges
Converges; 11100
Converges; 72
Converges; 0
jimthompson5910 (jim_thompson5910):
what's going on with the terms
are they getting bigger? or smaller?
OpenStudy (anonymous):
diverges right? @jim_thompson5910
OpenStudy (anonymous):
smaller, then bigger, than smaller
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
ignore the positive/negative signs
jimthompson5910 (jim_thompson5910):
focus on just the numbers themselves
jimthompson5910 (jim_thompson5910):
are they getting bigger? or smaller?
OpenStudy (anonymous):
smaller
jimthompson5910 (jim_thompson5910):
so eventually, the terms will get so very very small, that they essentially become zero
they won't be zero, but it'll seem like it's close enough
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
so as the terms approach infinity, the sequence approaches 0
OpenStudy (anonymous):
wait so it's converge?
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
yes, it converges to 0