A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

List the first four terms of a geometric sequence with t1 = 4 and tn = -3tn-1. im lost...again

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

    @ospreytriple @Mehek14

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

    so for the 2nd term substitute n = 2 t2 = -3 x t1 so t2 = -3 x 4 t2 = -12 and then repeat the process for n =3 and n = 4 hope it helps

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

    For \(t_2\), put 2 in for \(n\) in the given formula, i.e.\[t_2 = -3\times t_{2-1} = -3\times t_1\]and you know what \(t_1\) is.

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

    i got -12, is there more i have to do?

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

    Correct. Now you have \(t_1\) and \(t_2\). The question asks for the first four terms, so you need to repeat what you did above and calculate \(t_3\) and \(t_4\).

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

    so for t3 i do t3=-12 x t3-1?

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

    Not quite. The formula is\[t_n = -3 t_{n-1}\]The -3 is a constant, it never changes. In fact, when you understand the pattern, you'll see that -3 is the common ratio.

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

    is t3=-3t3-1 t3=-3t2 t3=-3(-12) t3=36 like that?

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

    Excellent! Now, what's \(t_4\) ?

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

    t4=-3t4-1 -3t3 -3(36) -108 like that?

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

    Congrats! Problem finished.

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

    thank you!. im glade you someone who shows me then just tells me the anwser

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

    I agree. You're welcome.

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

    just woundering, but are you good with ellipses and hyperbola?

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

    okay i have another question...ill start another one

  16. 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.