2020 AIME II Problems/Problem 6
Revision as of 21:25, 7 June 2020 by Worldwidenoah1 (talk | contribs)
Problem
Define a sequence recursively by 
, 
, and![\[t_n = \frac{5t_{n-1}+1}{25t_{n-2}}\]](http://latex.artofproblemsolving.com/0/5/5/055d678205c203b8399cd576b7812bb54597c68a.png)
for all 
. Then 
can be written as 
, where 
and 
are relatively prime positive integers. Find 
.
Video Solution
https://youtu.be/_JTWJxbDC1A ~ CNCM
See Also
| 2020 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
