A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Lilmike234

  • one year ago

What is the value of a fourth term in a geometric sequence for which a1=10 and r=.5

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

    \(\LARGE a_n=a_1\times {\rm r}^{\rm n -1}\)

  2. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this is for any geometric sequence.

  3. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now, for the fourth term of any geometric sequence it will read: \(\LARGE a_4=a_1\times {\rm r}^{\rm 4 -1}\) \(\LARGE a_4=a_1\times {\rm r}^{3}\)

  4. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    knowing your a1=10, and r=5, plug that into: \(\LARGE a_4=a_1\times {\rm r}^{3}\) and then calculate the \(a_4\).

  5. lilmike234
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So the answer would be 1250?

  6. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lets see \(a_4=10\times 5^3\) \(a_4=10\times 125\) \(a_4=1250\) yes, your answer is correct:)

  7. lilmike234
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The answer was 1.25...

  8. 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.