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Brick Problem


Lithumist
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A brick is 1 kg plus half a kg plus 1/4 of a brick!

Brick = 1 kg plus half of a brick
Half of a brick = 1/2 plus half a brick/2

x = 1 + x/2
x/2 = 1/2 + x/2/2
x/2/2 = 1/2/2 + x/2/2/2
To the infinite and beyond!
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@Aksel:

> How did you get that quarter of a brick in there?

1 brick = 1 kg and half a brick, now half a brick must be half what a brick is, so it will be half of 1 kg and half of half a brick and so the loop begins as you will then half the half of the half brick to find out what half of a half brick is.
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@Skell:

> @Aksel:
>
> > How did you get that quarter of a brick in there?
>
> 1 brick = 1 kg and half a brick, now half a brick must be half what a brick is, so it will be half of 1 kg and half of half a brick and so the loop begins as you will then half the half of the half brick to find out what half of a half brick is.

Aye, and that's where you use Calculus to determine what that infinite recursion equals. That's what Zeta did on the first page. It's 2.

Or, stop overcomplicating it and just subtract half a brick from both sides and you find that half a brick equals one kilogram, and it's simple from there.
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