A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence.

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

    @peachpi

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

    Pick numbers for the 1st and 3rd blanks. For the second since it's geometric, you want it to be a multiplier so use a word like halves, doubles, triples, etc.

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

    Wait no. You only need a number for the first blank. For the second it will still be increases/decreases. For the third use half, double, triple

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

    Ok so Anthony goes to the gym for 30min everyday he increases his time by half an hour

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

    Wait did that even make sense what I just said

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

    He increases his time by half an hour

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

    Increasing by half an hour would make it an arithmetic sequence because 30 minutes is a fixed amount. You can say he increases his time by double. So he'd do it for 30 minutes the first day, 60 the second, 120 the third and so on. The constant multiplier is what makes it geometric

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

    Arithmetic (adding 30 everyday) day 1 = 30 day 2 = 60 day 3 = 90 day 4 = 120 Geometric (doubling everyday) day 1 = 30 day 2 = 60 day 3 = 120 day 4 = 240

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

    does that make sense to you?

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

    So your basically multiplying by 20

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

    multiplying by 2

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

    Oh yeah sorry that was dumb so that's all you do until you get the answer for day 5

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

    Well yeah for day 5 it's going to be 480. Do they want to see you set up the geometric formula like you had to do for the last one?

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

    Yes that's the part the I don't understand is how to set it up

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

    \[a_n=a_1r^{n-1}\] That's the formula for a geometric sequence. a1 = 30, the number on the first day. r = 2 because that's what we're multiplying by Plug them in to get the general formula

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

    Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario. This is the one where they ask for the formula and to create a scenario to solve

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

    The scenario will be something like how many minutes total did he spend at the gym for the first ___ days. Then you can pick the number of days and use the geometric sum formula. Pick a number while I look that one up

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

    The sum of the first n terms of a geometric series is \[S_n=a_1\frac{ 1-r^n }{ 1-r }\]

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

    a_1 = 30, r = 2 from above. And n = the number of days

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

    Ok I will start solving to see what I get

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

    Ok I got s=210/n I choose 3 for the number of days

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

    yes, that's right.

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

    Thanks you so much for helping I'm taking an Alegebra class online and there's this project which were the questions I asked because I submitted it the first time and I got a 70% and the second a 30% so this is my last time right now I have a low C in the class and the project counts as 3 test grades which could help boost up my grade a lot plus I need to pass the class with a A or B to get into the high school I want to go to I really suck at math

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

    Could you help me with 2 more questions if you can

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

    Well good luck. You seem like you've got a solid understanding :).

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

    I've got to log off for a while, but post them. I'll be on later and I'll look for them. I'll give it a go if no one else answers.

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

    Ok thank you

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

    you're welcome.

  29. 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.