/sci/ - Science & Math

>>7914705
cost = 1 + cost/2
cost - cost/2 = 1
cost/2 = 1
cost = 2

Now go back to your containment board for retards.

>>7914708
and this is a containment board for autistics

>>7914705
It's recursion. There is no exit point to the algorithm.

Base = 1
Cost = base + (base * 0.5)
Cost = cost + (cost * 0.5)
And so on because it's price will remain itself plus half of itself.

>>7914743
>It's recursion. There is no exit point to the algorithm.
notsureiftrollingorreallyreallystupid.jpg

>Base = 1
Where are you getting this number from?

Here's the actual (high school level) algebra:
>cost = 1 + 0.5 * cost
subtract 0.5 * cost from both sides
>cost - 0.5 * cost = 1
>0.5 * cost = 1
multiply both sides by 2
>cost = 2
...please be a troll

>>7914756
Please be a troll. Please dear God.

>A game costs 1$ PLUS half of its price
>A game costs 1$
>game costs $1
>gamecost = 1

>PLUS half of its price
cost = gamecost + (gamecost * 0.5)
cost = 1.5

It's price is now 1.5. The game costs 1.5. The game costs 1.5 plus half its price.

Cost = 1.5 + (1.5 * 0.5)
Cost = 1.5 + 0.75
Cost = 2.25
The game costs 2.25 plus half its price.

Etcetera etcetera. It's literally designed to make people argue because it's written wrong. There is no real answer because it's ambiguous in interpretation.

It's either literally 1.50 or infinity.

>>7914727
And /pol/ is a containment board for schizos.

>>7914769
>It's literally designed to make people argue because it's written wrong. There is no real answer because it's ambiguous in interpretation.
Soooo why are you so butthurt about it? It can easily be interpreted as the other guy put it where the answer is 2.

$1.50

>>7914705
If 1 + 1/2 c = c
then 1 = 1/2 c
so c = 2
fucking tards.

>>7914769
>cost = gamecost + (gamecost * 0.5)
>cost = 1.5
>It's price is now 1.5. The game costs 1.5. The game costs 1.5 plus half its price.

Are you seriously retarded???
>>gamecost = 1
The puzzle NEVER says this.
It doesn't say "it costs one dollar".
It says "it costs one dollar PLUS something else".

>>PLUS half of its price
>cost = gamecost + (gamecost * 0.5)
>cost = 1.5
Nothing can equal itself plus half of itself.
The cost is $1 PLUS half the cost.
It doesn't START as one thing and then change.
It's always $2.
Thus, $1 plus half of $2 = TWO DOLLARS.

>>7914769

You have problems with reading comprehension.

Let [math]x[/math] be the price of the game.
[math]x = 1 + \frac{x}{2}[/math]
This is what it means, word for word. No one said it's a dollar plus half of the price of a dollar. It's a dollar plus half of the price of the game.
Are you retarded or just stupid?

>>7914806
You're so wrong.

Let's try this one:

A bat and a ball cost $1.10 in total.
The bat costs $1 more than the ball.
How much does the ball cost?

>>7914705
There is no recursion here you fuckin faggit

>>7914813
What, precisely, is wrong?

$2 you fuckin idiots.

1/2 of $2 is $1.

$1 plus $1 = $2

>>7914826
>$2 you fuckin idiots.
I miss ID's.
I'm pretty sure it's just the one tard.

>>7914705
> a game costs $1 plus x/2
> how much does it cost?
1 + x/2

X = 1 + (X/2)
X -1 = (X/2)
2(X -1) = X
2X -2 = X
X -2 = 0
X = 2

X equals final cost. The cost of the game does not equal the final cost. The cost of the game is never equated to the final cost, so an infinite series is not to be used.

>>7914815

The ball costs 0.05
The bat costs 1.05

proof:
let [math]x[/math] represent the price of the bat and [math]y[/math] represent the price of the ball.

[math]x+y=1.1[/math]
[math]x=1+y[/math]
[math]1.1=x+y=1+y+y[/math]
[math]0.1=2y[/math]
[math]y=0.05[/math]
[math]1.1=x+y=x+0.05[/math]
[math]x=1.05[/math]

>>7914833
but game=x
now solve for x

>>7914705

Not infinite; if you keep taking halves of a number and adding it, what you have is an integral, which will converge towards a finite limit.

>>7914863

>really hope you were correcting his theory and suggesting an answer

>>7914839
this pretty much.

Kek
People in this site are to smart to answer basic word problem in Algebra.

>>7914705
It's actually recursive but not infinity

$1 + $0.50
=> $1.50 + $0.25
=> $1.75 + $0.125
...
So in the end we get $1.999999... = $-1/12