Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

iheartfood

  • 3 years ago

In a geometric sequence, the term an+1 can be smaller than the term an. true or false?

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

    true

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

    if n is < 1

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

    are u sure?? how did u know so fast?? lol

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

    as in |n| < 1

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

    so n ranges from 0 to 1

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

    oops

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

    wait

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

    oh okay

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

    if the interval is (-1) that makes it alternating

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

    so it will be smaller and bigger alternatingly

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

    (-1)^ 2 is positive, (-2) ^ 3 is negative

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

    so this is FALSE?

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

    (-2)^2 i mean

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

    if the common ratio r <1 then each term is smaller that the previous

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

    there are a few cases yeah. if the sequence convergerges or if the sign alternates

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

    wait so its TRUE then???

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

    yup its true

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

    i said wait coz my explanation was incomplete

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

    oh okay haha :P thanks!!! so its definitely TRUE right?

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

    if the absolute value of r is less than 1 |r| < 1 the the geometric series will have a limiting sum...

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

    just to clarify things... n is used for the term number... and r is used for the common ratio ( or multiplication constant)... just to avoid confusion.

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

    k thanks for all the help y'all!

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

    yeah. \[ar ^{n}\] if |r| < 1 it converges and if r is negative, it alternates

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

    not quite a term in a geometric series is found using \[T_{n} = ar^{n -1}\] n is the term number, T is the Term a is the 1st term and r is the common ratio... please get it right @irkiz

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

    k thanks for all the help y'all!

  26. 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