A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How to solve this type of sequence? 1)The sequence given is: 〖(a_n)〗_(n ϵ N) , such as: a_1= 1/3 for every n ϵ N , a_(n+1)=(2n+1)/(4n+3) a_n. Find a_3 ? Considering the fact that every monotone decreasing and bounded in sequence is a convergent sequence, show that the sequence 〖(a_n)〗_(n ϵ N) is a convergent sequence. Find lim┬(n→∞)⁡〖a_n 〗

  • This Question is Open
  1. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Why do you go to a complicated way? just plug n =1,2 into the given equation and you get \(a_3\)

  2. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(a_{n+1}= \dfrac{2n+1}{(4n+3)a_n}\) If n =1, then \(a_{n+1}= a_{1+1}= a_2 =\dfrac{2*1+1}{(4*1+3)a_1}\)

  3. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    repeat with n =2, you get a3

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.