The Great Aviary Chandelier

by agbdmrbirdyface, Aug 13, 2016, 3:08 AM

Oops I realized this blog actually didn't have a post for today!

So, I have a small and somewhat easy problem of my own creation (and it's pretty trash, but we need a problem!)
agbdmrbirdyface wrote:
agbdmrbirdyface has a very large circular chandelier in his aviary, with 2015 spots for light bulbs. Each of the spots is numbered consecutively from 1 to 2015. He is installing new light bulbs in his chandelier, so at the start, his chandelier has no light bulbs in any of the spots. agbdmrbirdyface wants to install light bulbs in his chandelier according to the following rule: for the nth iteration of this rule, agbd will install n light bulbs in the first n empty lightbulb spots after the n-1th iteration, starting with the first empty lightbulb spot after the n-1th iteration of the rule is complete. After this is complete, he will skip one lightbulb spot. .

agbd will keep applying this rule until all the lightbulb holders are full, even if he has to go back around the circle again to install more light bulbs. If agbd installs the first lightbulb according to the rule in spot number 1, which spot is the last to be filled with a lightbulb?

Solution

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2 Comments

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Oops didn't LATEX the problem cuz I'm bad.

by agbdmrbirdyface, Aug 13, 2016, 3:09 AM

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Oops this problem is long

by shiningsunnyday, Aug 14, 2016, 1:48 AM

To share with readers my favorite problem I came across today :) (Shout for contrib.)

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    by LeonidasTheConquerer, Aug 5, 2024, 9:37 PM

  • amazing blog

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    by purplepenguin2, Mar 1, 2023, 8:43 AM

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    by cinnamon_e, Mar 10, 2022, 6:58 PM

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    by samrocksnature, Jul 16, 2021, 8:25 PM

  • 2021 post

    by the_mathmagician, May 5, 2021, 3:28 PM

  • Let $ ABC$ be an equilateral triangle of side length $ 1$. Let $ D$ be the point such that $ C$ is the midpoint of $ BD$, and let $ I$ be the incenter of triangle $ ACD$. Let $ E$ be the point on line $ AB$ such that $ DE$ and $ BI$ are perpendicular. $ \

    by ARay10, Aug 25, 2020, 5:55 PM

  • Nice blog! :)

    by User526797, Jan 12, 2020, 4:48 PM

  • oh my gosh it's been so longggggg.... contrib? what does that mean?

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  • 2019 post

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  • hi contrib please

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  • contrib /charmander

    by mathmaster2000, Apr 16, 2017, 4:59 PM

  • for contrib

    by SomethingNeutral, Mar 30, 2017, 7:57 PM

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