Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

msingh

  • one year ago

Can anyone derive me the formula for the nth term from the Last , of A.P?

  • This Question is Closed
  1. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You want to derive the formula for the nth term of an A.P?

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

    kk..

  3. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let the first term be a1 and the common difference be d now second term will be a2=a1+d third term will be a3=a1+d+d=a1+2d Do you get this part?

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

    yes..

  5. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now if we go on like that, 4th term is \[a_4=a_1+3d\] Hence nth term will be \[a_n=a_1+(n-1)d\] Do you understand this?

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

    yes..and thank u

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

    one question..why do we add 1 on last step

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

    because thee are n terms and before we have n-1 terms

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

    it goes on decreasing such as n, n-1, n-2...

  10. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't get you, where do you have doubt?

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

    an=a1+(n−1)d, y there is 1

  12. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you mean the 1 in n-1?

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

    yes.

  14. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    for seond term a2, we have d or 1d for third term a3, we have 2 d In the formula we have d times ( one no. less than the term no. ) That's why for n we have 1 less than n i.e n-1

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

    kkk

  16. ash2326
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you understand?

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

    yes

  18. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.