2020 AIME II Problems/Problem 6
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
Video Solution 2
~IceMatrix
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 | ||
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