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Calcmathlete Group Title

What are triangular numbers, pentagonal numbers, etc?

  • 2 years ago
  • 2 years ago

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  1. KingGeorge Group Title
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    Triangular numbers are of the form \[1+2+...+n=\frac{n(n+1)}{2}\]

    • 2 years ago
  2. KingGeorge Group Title
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    Square numbers are \[1,4,9,...\]

    • 2 years ago
  3. UnkleRhaukus Group Title
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    |dw:1344055445671:dw|

    • 2 years ago
  4. ashelz Group Title
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    • 2 years ago
  5. KingGeorge Group Title
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    Basically, if you were to draw out the shape, and fill it with dots, that would be your "____" number where you fill in ____ with triangular, square, pentagonal and so on.

    • 2 years ago
  6. Calcmathlete Group Title
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    Is that really all it is? I thought that it was more complex for some reason...thank you :)

    • 2 years ago
  7. UnkleRhaukus Group Title
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    |dw:1344055538341:dw|

    • 2 years ago
  8. UnkleRhaukus Group Title
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    are they ment to start at n=0 or at n=1?

    • 2 years ago
  9. KingGeorge Group Title
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    That's really there is. So the hexagonal numbers would be modeled by|dw:1344055645318:dw|and you get exactly 15 dots which is the third hexagonal number.

    • 2 years ago
  10. Calcmathlete Group Title
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    Alright. I just wanted to know because my textbook gave me a formula for the xth number of an n-gon, but I had no idea what it was talking about. Again, thank you :)

    • 2 years ago
  11. UnkleRhaukus Group Title
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    is zero a triangular/square/pentagonal,.... number???

    • 2 years ago
  12. KingGeorge Group Title
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    I don't think 0 is usually listed as one of these numbers. But formally, I think it is a triangular/square/pentagonal number .

    • 2 years ago
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