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

YorbelHunter Group Title

What is the next term in the sequence below? 1/2, 2/6, 3/18, 4/54, ____

  • 2 years ago
  • 2 years ago

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

    \[\frac{ 1 }{ 2 }, \frac{ 2 }{ 6 },\frac{ 3 }{ 18 },\frac{ 4 }{ 54 },\frac{ ? }{ ? }\]

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

    1/2 + 1/3 + 1/6 + 1/9??

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

    We note: \[ \frac{a_n}{b_n}=\frac{a_{n-1}+1}{3b_{n-1}} \]So: \[ \frac{5}{162} \]Is our next term.

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

    Arithmetic Progression : try to check whether there is common difference or not ... \[\large{\frac{2}{6}-\frac{1}{2} = \frac{2-3}{6}=\frac{-1}{6}=d}\] \[\large{\frac{3}{18}-\frac{2}{6}=\frac{3-6}{18}=\frac{-3}{18}=\frac{-1}{6}=d}\] hence the above sequence is of arithmetic progression

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

    \[\large{\frac{4}{54}+\frac{-1}{6}= \frac{4-9}{54}=\frac{-5}{54}}\]

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

    It's not an arithmetic series @mathslover , since: \[ \lim_{n\to\infty}\left(\frac{a_n}{b_n}\right)=0 \]

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

    but it do have common difference...

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

    For the first three terms, check: \[ \frac{4}{54}-\frac{3}{18}\ne -\frac{1}{6} \]

    • 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.