Definitions by john0512
2264840837685719
2264840837685719 by john0512 March 17, 2021
2021 AIME I #10
Consider the sequence $(a_k)_{k\ge 1}$ of positive rational numbers defined by $a_1 = \frac{2020}{2021}$ and for $k\ge 1$, if $a_k = \frac{m}{n}$ for relatively prime positive integers $m$ and $n$, then
\a_{k+1} = \frac{m + 18}{n+19}.\Determine the sum of all positive integers $j$ such that the rational number $a_j$ can be written in the form $\frac{t}{t+1}$ for some positive integer $t$.
\a_{k+1} = \frac{m + 18}{n+19}.\Determine the sum of all positive integers $j$ such that the rational number $a_j$ can be written in the form $\frac{t}{t+1}$ for some positive integer $t$.
2021 AIME I #10 by john0512 March 15, 2021
kzhu lasagna
kzhu lasagna by john0512 March 15, 2021
Adihaya Jayasharmaramankumarguptareddybavarajugopal lemma
A very great technique for solving math problems. Often only works because they solved it in a different way and used this lemma in a way that gives the same answer as the other way.
-How did you solve this problem?
-I used the Adihaya Jayasharmaramankumarguptareddybavarajugopal lemma
-I used the Adihaya Jayasharmaramankumarguptareddybavarajugopal lemma
Adihaya Jayasharmaramankumarguptareddybavarajugopal lemma by john0512 February 18, 2021
browniephobia
The fear of brownies. Typically developed after sillying #11 on AMC 10 B 2021. Luckily am pro at simon's favorite factoring trick.
browniephobia by john0512 February 11, 2021