A community for students.
Here's the question you clicked on:
 0 viewing
aceace
 3 years ago
If T_{n} = \frac{ n1 }{ n }
, prove T_{n+1}  T _{n1} = \frac{ 2 }{ n^2 1 }
aceace
 3 years ago
If T_{n} = \frac{ n1 }{ n } , prove T_{n+1}  T _{n1} = \frac{ 2 }{ n^2 1 }

This Question is Closed

aceace
 3 years ago
Best ResponseYou've already chosen the best response.0If T_{n} = \frac{ n1 }{ n }, prove T_{n+1}  T _{n1} = \frac{ 2 }{ n^2 1 }

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1First, you want to write out what \(T_{n+1}\) and \(T_{n1}\) are using the fact that \(\displaystyle T_n=\frac{n1}{n}\). Can you tell me what \(T_{n+1}\) is?

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1Right, and \(T_{n1}\)?

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1Bingo. So you have \[T_{n+1}T_{n1}=\frac{n}{n+1}\frac{n2}{n1}\]Find a common denominator, and simplify.

aceace
 3 years ago
Best ResponseYou've already chosen the best response.0yeh i did that and got to the answer 2/(1n) which is wrong

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1Alright, to get a common denominator, you do the following, and simplify. \[\left(\frac{n}{n+1}\cdot\frac{n1}{n1}\right)\left(\frac{n2}{n1}\cdot\frac{n+1}{n+1}\right)\] Does this help?

aceace
 3 years ago
Best ResponseYou've already chosen the best response.0yeh i got that step except i cant get the final answer

aceace
 3 years ago
Best ResponseYou've already chosen the best response.0its ok i got the answer... i had a silly mistake

KingGeorge
 3 years ago
Best ResponseYou've already chosen the best response.1We all make those from time to time.
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.