Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

satellite73

  • 3 years ago

find the first 4 terms \[a_1=\frac{3}{2}; a_{n+1}=\frac{n^2+1}{n(a_n)}\]

  • This Question is Closed
  1. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i got my answer but apparently i was wrong this from @lopez_hatesmath

  2. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    maybe some fresh eyes would help

  3. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nvm sorry to bother you

  4. lopez_hatesmath
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :(

  5. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i got it

  6. lopez_hatesmath
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    swagg

  7. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it was this \[a_1=\frac{3}{2}; a_{n+1}=\frac{n^2+1}{n}\times a_n\]

  8. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that is, the \(a_n\) was in the NUMERATOR

  9. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so now it is not so bad replace \(n=1\) on the right hand side to get \(a_2\)

  10. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you get \[a_2=\frac{1^2+1}{1}\times \frac{3}{2}\] \[a_2=2\times\frac{3}{2}\] \[a_2=3\]

  11. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now replace \(n\) by 2 on the right hand side to get \[a_3=\frac{2^2+1}{2}\times 3\] \[a_3=\frac{5}{2}\times 3\] \[a_3=\frac{15}{2}\]

  12. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how are we doing so far?

  13. lopez_hatesmath
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good :)

  14. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    one more? \[a_4=\frac{3^2+1}{3}\times \frac{15}{2}\] \[a_4=\frac{10}{3}\times \frac{15}{2}\] \[a_4=25\]

  15. lopez_hatesmath
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okayy i got it!

  16. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not so bad that is the idea, i thought the term was in the denominator which is why i was screwing it up

  17. lopez_hatesmath
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gotcha thanks for the help man.

  18. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw good luck with the next one, but it works the same so you should be good to go

  19. 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.