A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Please help. TOTALLY confused. Convergence/divergence/finding sum of convergent series.
anonymous
 3 years ago
Please help. TOTALLY confused. Convergence/divergence/finding sum of convergent series.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{n=1}^{\infty}\frac{ 1 + 2^{n} }{ 3^n }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Does this converge to 0 or to 2/3? I'm not sure if it converges to zero because the denominator goes to infinity faster than the numerator, or if, when I tried to do the test for divergence, my algebra was off. I basically took a 3^n out of everything and ended up with 1/3^n + 2^n/3^n in the numerator and 1 in the denominator. And I thought that the numerator would end up as 0 + 2/3. So the result overall would be 2/3. Is this correct? Or is it really just zero?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And I have no idea how to algebraically manipulate the problem to get it into Ar^n form in order to get the sum. I would guess it would be the entire numerator of the original problem times the denominator raised to the negative first power. But I don't know...
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.