A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Can anyone derive me the formula for the nth term from the Last , of A.P?
anonymous
 3 years ago
Can anyone derive me the formula for the nth term from the Last , of A.P?

This Question is Closed

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.1You want to derive the formula for the nth term of an A.P?

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.1Let 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?

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.1Now if we go on like that, 4th term is \[a_4=a_1+3d\] Hence nth term will be \[a_n=a_1+(n1)d\] Do you understand this?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0one question..why do we add 1 on last step

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0because thee are n terms and before we have n1 terms

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it goes on decreasing such as n, n1, n2...

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.1I don't get you, where do you have doubt?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0an=a1+(n−1)d, y there is 1

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.1for 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 n1
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.