Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lilsis76 Group Title

the sum of three consecutive terms in an arithmetic sequence is 30, and their product is 360. Find the three terms. Let x denote the middle term and d the common difference. well i got so far: ______+________+__________= 30 but ______x________x__________=360 ya, thats as far as I got and i am still stumped. I tried all kinds of things but i cant seem to get the right sum and multiplied values

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    middle term must be 10

    • 2 years ago
  2. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    do i divide by 36? how do i know what to put in for the middle parts? i remember class mates saying something by going up or down by a k, or a 1 or something. is there a rule or something like that I have to know?

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

    ok, using your notation, x is the middle term, d is the common difference: (x-d) + x + (x+d) = 30. so what's x?

    • 2 years ago
  4. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so the the left would be negative and the right would be positive.

    • 2 years ago
  5. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay @cnknd would it be 10-5 + 10 + 10+5 = 30?

    • 2 years ago
  6. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ugh... what???? ok take a step back, forget i told u that middle term is 10. look at the equation for the sum: (x-d) + x + (x+d) = 30 can u find x and d from this?

    • 2 years ago
  7. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay well i was thinking the 30/3 = the 10

    • 2 years ago
  8. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @cnknd okay the d is the difference and x is the actual number. i am lost as to where to start

    • 2 years ago
  9. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    (x-d) + x + (x+d) = 30 can you solve for either x or d?

    • 2 years ago
  10. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i think we can solve the x. the 3x= 30 so x=10, right?

    • 2 years ago
  11. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes but you can't really determine what d is though.

    • 2 years ago
  12. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    but at least now you know why the x (the middle number) is 10.

    • 2 years ago
  13. cnknd Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    you can probably guess and check for the other 2 numbers (that's what i did)

    • 2 years ago
  14. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, let me try and ill get back to you on this in a little

    • 2 years ago
  15. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    GOT IT! (10-8) +/* 10 +/* (10+8) +=30 * =360

    • 2 years ago
  16. lilsis76 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    THANK YOU SO MUCH @cnknd

    • 2 years ago
    • Attachments:

See more questions >>>

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.