Subcategories

• Day 13

  Polygon Angles

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  @angeliccanary That would definitely work! You found that the three angles, 180-a, 180-b, and 180-y must add to 360 degrees because they form a "full rotation." Actually, some people go the opposite way: they start with the fact that the angles in a triangle add to 180 degrees, and use that to actually prove that the exterior angles must add to 360 degrees... can you see how?

• Day 14

  Telescoping Sum

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  @angeliccanary Yep, that's exactly how you would rigorously prove that a pattern exists!

  Just a really small note- for the proof, it actually doesn't strictly matter that n(n-1) is the LCD; we can still algebraically set n(n-1) to be the common denominator no matter what. This is sort of like how we can write 1/2 + 3/5 as 22/20, even though technically it's 11/10 simplified. You're right that n(n-1) is the LCD because the numerator becomes 1, though

  Great job!

• Day 15

  Beehive Paths

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  @nastya Thanks

• Day 16

  Square Remainders

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  Joke alert :
  Poor 3... it was so close to 4 but it didn’t even get to be the remainder when 4 is divided by the sum of two perfect squares.

  PS the two Number Theory problems are really cool!