Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Check whether the series defined below is convergent and if so, find its sum.
 one year ago
 one year ago
Check whether the series defined below is convergent and if so, find its sum.
 one year ago
 one year ago

This Question is Closed

mathew0135Best ResponseYou've already chosen the best response.0
\[\sum_{n=1}^{\infty} \frac{ 2^n }{ (12)^{n1} }\] and the equation.
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
What math class is this for?
 one year ago

etemplinBest ResponseYou've already chosen the best response.0
likely calc 2, because i just had a test on this
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
BTW, this series converges.
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
Math 1B in Australia (presumably similar to calc 2 from what i've seen).
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
ok, the sum will also be 12/5
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
thanks, good to know but how do you work that out?
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
Take the limit as n goes to infinity.
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
thus far i've found the absolute value, then tried to find the limit as it approaches infinity. That's what i believe you do.
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
Ya. That would be correct. So, the form is an+1/an
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
And you plug in the formula that you have into this equation.
 one year ago

zordoloomBest ResponseYou've already chosen the best response.0
(2^n+1)/(12^(n+1)(1)) all over (2^n)/(12^(n1))
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
okay so because the is to a higher power the limit is equal to 0 and thus converges. Hate to ask but how do you find the sum. Think you tried to explain it there but i'm still a bit confused. does: ((2^n+1)/(12^(n+1)(1)))/((2^n)/(12^(n1))) find me the sum when n=1?
 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.