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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 $t$.
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by john0512 March 15, 2021
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Cute is what we aim for

A joke band that was started to mock the horrible noise being produced by such bands like fall out boy and whoever else is on that pathetic excuse for a label. For whatever reason, the delusional youth of america began taking their "music" seriously and now the band has it in their head that they're making actual music and continue to pollute the airwaves with garbage like "the curse for curves".
Shaant: Hey guys, wanna start a shitty band? i can whine a whole lot and you guys can pretend to know what you're doing, and little scene girls will be on our dicks in no time.

Little scene kids: ZOMG cUte is what we aim for is awesomez, i wuv them, add me on myspaCE!
by markkula May 24, 2008
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aim high and touch the sky

the gangsta way of giving your friend the "all-clear" to approach and attempt to seduce a female with his (or her) lower regions. It can also be used as an ok to allow one's lower genetilia to become active. In other words, its boner time.
We were all alone, and she was half naked and drunk so I knew it was time to aim high and touch the sky.

"Dude, she's hot"
"Ohhhh I know. id smack that ass into next week"
"Holy shit dude, you know what i think?"
"What?"
"I think its time...

time for u to aim high touch the sky"
by tits59 October 4, 2010
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AIM Instant Messenger

Messaging system created so that low lifes can chat online with the "friends" that don't like them enough to either answer their text messages, or actually talk to them in person.

situations such as these bring great relief to the "block" button.
susie: i wonder why that hott guy hasn't answered my constant text messages for the last three and a half hours

-after logging in to AIM Instant Messenger-

susie: oh, no worries! he's online!
by jannnnnnnna July 29, 2009
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Irish Aim

Ability to urinate and/or vomit without making a mess whilst intoxicated.
We learned Mike had Irish Aim after he puked up all that cheap wine without getting a drop on the floor.
by Mr Coffee Bear March 9, 2015
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You can suck my aim's ass

When you're flexing how good your aim is to someone
Person A: I'm too fast for you to shoot me!
Person B: (headshots them) You can suck my aim's ass!!!
by Endr9 February 4, 2020
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Trajectoral Aiming

Like moving targets, but the projectile (bullet) is slower, requiring predictional and timing skills to hit the target - offsetting a bit far out to the predicted path of the target based on the speed of both.
Often used by bow and arrow or missiles.
During dodgeball matches, you must use trajectoral aiming to precisely hit a moving target with a slow projectile.

I dont know what the actual concept was so I called it Trajectoral Aiming.
by 1m1m0 December 27, 2022
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