For Reimy

posted by .

Math (Reimy) - Reiny, Thursday, June 25, 2009 at 4:46pm
You are welcome

Just as an afterthought...

There is also a set of numbers called the pyramidal numbers, they are ...
1 4 10 20 ....

Can you figure out the pattern?
(Let their name be a hint.)

  • For Reimy -

    http://en.wikipedia.org/wiki/Tetrahedral_number

    look at the rotating triangular pyramids and count the number of balls for the different layers

    top layer: 1 ball
    top two layers: 4 balls
    top three layers: 10 balls
    etc.

    you can figure out the number of balls for any number of layers n by
    n(n+1)(n+2)/6

    e.g. if n=3
    3(4)(5)/6 = 10

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