A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
is this series alternating ?
sigma n=1 to infinity (1)^n(21/n).
anonymous
 5 years ago
is this series alternating ? sigma n=1 to infinity (1)^n(21/n).

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't think so, I think it's possible to have consecutive negative terms

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the answer is that its is but it doesnt satisfy the conditions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.021/n is always positive for n>=1 so it is an alternating series. lim n>inf 21/n = 2 so it diverges by the alternating series test.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you plug in the n values, you're going to get imaginary numbers.. maybe every number that is real ends up alternating?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not that I found any.. lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think he means (1)^n * [21/n], and even if it were (1)^(n*[21/n] then the terms approach (1)^(2n) = 1, essentially equivalent to summing an infinite number of 1's, therefore, irrelevant of whether it exists in the complex plane, it diverges.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, then it's alternating for sure. (1)^n would change the sign each time
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.