Difference between revisions of "2020 AIME II Problems/Problem 6"
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==Video Solution== | ==Video Solution== | ||
https://youtu.be/_JTWJxbDC1A ~ CNCM | https://youtu.be/_JTWJxbDC1A ~ CNCM | ||
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| + | ==Video Solution 2== | ||
| + | https://youtu.be/__B3pJMpfSk | ||
| + | |||
| + | ~IceMatrix | ||
==See Also== | ==See Also== | ||
{{AIME box|year=2020|n=II|num-b=5|num-a=7}} | {{AIME box|year=2020|n=II|num-b=5|num-a=7}} | ||
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 01:33, 8 June 2020
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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
