All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
Initial Term Identification (Posted on 2015-07-21) Difficulty: 3 of 5
A sequence {X0, X1, X2, ...., Xn} is given by:
Xn(1 - Xn-1) = Xn-1

Find X0, given that: X2015 = 2015

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Working from the other direction | Comment 2 of 3 |
x(1) = x(0)/(1 - x(0))
x(2) = x(1)/(1 - x(1)) = x(0)/(1 - 2*x(0))
x(3) = x(0)/(1 - 3*x(0))
.
.
.
x(2015) = x(0)/(1 - 2015*x(0)) = 2015
x(0) = 2015/(2015^2 + 1) = 2015/4060226


  Posted by xdog on 2015-07-21 19:57:58
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information