Home > Just Math
| Infinitely Continued (Posted on 2009-09-10) |
 |
The infinite continued fraction: x + 1/(x+ 1/(x + 1/(x+ ....))) is denoted by C(x).
Determine all possible pair(s)(g, h) of positive integers that satisfy this equation:
2 1
----- - ------ = 1
C(g) C(h)
|
|
Submitted by K Sengupta
|
|
No Rating
|
|
|
Solution:
|
(Hide)
|
(1,4) is the only possible pair that satisfies all the given conditions.
Refer to the computer program aided solution located here and the analytical solution located here, each of which has been submitted by Daniel.
|
Comments: (
You must be logged in to post comments.)
|
|
Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ |
About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
|
