Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

petegutz Group Title

Whats the difference between diverge and converge???

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. hba Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    go to the physics portion

    • 2 years ago
  2. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what? no it's a math Q

    • 2 years ago
  3. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but its in algebra 2

    • 2 years ago
  4. hba Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    k sorry

    • 2 years ago
  5. pratu043 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Diverge means separate, converge means meet.

    • 2 years ago
  6. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    converge is to "settle down" on a finite falue

    • 2 years ago
  7. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    value*

    • 2 years ago
  8. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    oh jeez, an algebra2 definition of "diverge" ? I kind of would like to know the context

    • 2 years ago
  9. hba Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @pratu043 it is maths not physics

    • 2 years ago
  10. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    heres what the question is 1/5+1/25+1/125+1/625... Does the infinite geometric series converge or diverge?explain

    • 2 years ago
  11. Monkeyball Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Does it go to infinity?

    • 2 years ago
  12. Monkeyball Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Or does it go to a specific value?

    • 2 years ago
  13. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    or does it settle on no value at all and oscillate forever?

    • 2 years ago
  14. nbouscal Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Algebra 2 is an interesting time to learn about this. You should at least see the formal definition, so here's that (in my words): A sequence \(a_n\) converges to a limit \(L\) iff for any given \(\epsilon\), there exists an \(N\) such that \(n>N\implies |a_n-L|<\epsilon\). That's the formal one. In english, that means, as you go on to infinity, the sequence gets as close as you like to a given value. Basically, like others have said, the sequence "settles down" to a value. Diverges simply means "does not converge."

    • 2 years ago
  15. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    it goes infinitly

    • 2 years ago
  16. Monkeyball Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    no it does not.....the reason being that the denominator is getting bigger which means that the overall number is getting smaller.

    • 2 years ago
  17. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    @nbouscal I wish they taught me that in algebra2, but I don't think so...

    • 2 years ago
  18. Monkeyball Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    If it went to infinity then the sequence will increase exponentially

    • 2 years ago
  19. nbouscal Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh no, I'm sure they don't. They would never do something crazy like teach real mathematics to secondary school students :P

    • 2 years ago
  20. nbouscal Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Not saying I know pedagogy better than they do, but couldn't they at least flash it on the board? One slide of a powerpoint? No? *sigh* oh well.

    • 2 years ago
  21. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    exactly^ @petegutz do you have a specific formula to use? there are a few...

    • 2 years ago
  22. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no all that it gave me was what i put up

    • 2 years ago
  23. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\sum_{n=1}^\infty ar^{n-1}=\sum_{n=0}^\infty ar^n=\frac a{1-r}\]is maybe a formula you can use?

    • 2 years ago
  24. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    the above is only true for \(|r|<1\), otherwise the series diverges so you must identify }r| in your series

    • 2 years ago
  25. TuringTest Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    identify |r| *

    • 2 years ago
  26. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is it 1/5?

    • 2 years ago
  27. nbouscal Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, r=1/5

    • 2 years ago
  28. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so it converges and it has a sum right?

    • 2 years ago
  29. nbouscal Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes

    • 2 years ago
  30. petegutz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks!

    • 2 years ago
    • Attachments:

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.