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

noname81

The terms 5x+2, 7x-4, and 10x+6 are consecutive terms of an arithmetic sequence. Determine the value of x and state the three terms. I was just introduced to Tn=T1+(n-1)d so if I can answer using this equation that would be great

  • one year ago
  • one year ago

  • This Question is Closed
  1. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    an arithmetical sequence has a common difference (d) so in this case d = (7x - 4) - (5x + 2) = 2x - 6 also d = (10x + 6) - (7x - 4) = 3x + 10 therefore 2x - 6 = 3x + 10 do you follow this?

    • one year ago
  2. noname81
    Best Response
    You've already chosen the best response.
    Medals 0

    ok but would the difference between the T1 T2 T3 be the same?

    • one year ago
  3. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    yes t2 - t1 and t3 - t2 are the same - thats what an arithmetical sequence is eg 2 , 4 , 6

    • one year ago
  4. noname81
    Best Response
    You've already chosen the best response.
    Medals 0

    ok I follow so far

    • one year ago
  5. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    now solve the equation to find x: 2x - 6 = 3x + 10 -6-10 = 3x - 2x x = -16 now you can find the first 3 terms by plugging x= -16 into the terms in x first one T1 = 5x+ 2 = 5(-16) + 2 = -78

    • one year ago
  6. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    now you can get the 2nd and third by plugging in x = -16 as above or you can use the formula for Tn which you quoted in your question

    • one year ago
  7. noname81
    Best Response
    You've already chosen the best response.
    Medals 0

    awesome.Thanks for the help:)

    • one year 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.