Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

osanseviero

  • one year ago

Write the next series completly and write to what tends when you get the limit

  • This Question is Closed
  1. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[Sn=\frac{ 6 }{ 10 }+\frac{ 6 }{ 100 }+...\]

  2. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is your job to add up \[\frac{6}{10}+\frac{6}{100}+\frac{6}{1000}+...\] which is the same as \[0.6666...\]

  3. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you probably already know this one since \(0.33333...=\frac{1}{3}\) then if you double it you get \(0.6666...=\frac{2}{3}\)

  4. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yep, I know that...so what should I do...keep adding?

  5. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh....I see...it is 0.6666

  6. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So it tends to 0.66666... in infinity?

  7. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And how to write the complete series?

  8. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(\overline{.6}=\frac{2}{3}\)

  9. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i was assuming you knew what "point six" repeating is if you have so sum a geometric series, we can do that as well, but you are still going to get \(\frac{2}{3}\)

  10. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I knew. So...its tendency and writing the series is the same?

  11. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh... \[Sn?\frac{ 6 }{ 10 }\times \frac{ 1 }{ 10 }^{n-1}\]

  12. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is an =

  13. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    are you familiar with sigma notation?

  14. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yep

  15. osanseviero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so...

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.