RIDDLE ME THIS, FAGFACES!

A game costs $1 plus half its price.

How much does it cost?

Depends on the tax rate.

50 cents, you jackhole.  Don't act smart about it.

ＡＦ　ｉｓ　ｍｙ　ｎａｍｅ，　ｓｅｍｅｎ　ｉｓ　ｍｙ　ｇａｍｅ

The Game

>>1
x = 1 + x/2
x - x/2 = 1
x/2 = 1
x = 2

It costed $2.

>>6

WRONG!

The game costs one dollar.
$1
+
Half its price = half of $1 = 50 cents

$1 + 50 cents = $1.50

So the answer is $1.50

Duh.

>>7
I used to be good at math like you, but then I took a dick to the knee.

To the KNEEEEEEEEEEEEEE XD floatboats

>>1
A game costs $1 plus half its price.
How much does it cost?
It costs an infinite amount of money.

Think about it. As soon as you establish a "final" price, you have to add half of that amount to itself. So it never ends, hence it is infinite.

This is not just a hat stand of top of my neck, if you get my drift.

paying for games

Now I must append: Some fools here may believe that this is a problem of a simple infinite regressing series, to wit:

1 + (1/2) + (1/4) + (1/8) + (1/16) + .... = 2

But that is not the case, since the language used in the definition does not allow the operation to actually terminate. The term "its price" means that as soon as you believe you have arrived at a final price from the infinite regressing series, you then have to keep adding, to wit:

2 + (2/2) + (2/4) + (2/8) + (2/16) + (2/32) + .... = 4

And so it never ends. You have to keep adding half of its own price. Forever. It is an infinite value.

Can you write that again, but in LaTeX?