Posted by **Jennifer** on Sunday, December 8, 2013 at 5:44pm.

in a store all the oranges are stacked in triangular pyramids, each layer of oranges is in the shape of an equilateral triangle and the top layer is an single orange. How many oranges are are in a stack ten layers high

- math -
**Steve**, Monday, December 9, 2013 at 12:10am
the layers are triangular numbers:

1,3,6,10, ... n(n+1)/2

The pyramid is pyramidal numbers:

1=1

1+3=4

1+3+6=10

...

1+3+...+n(n+1)/2 = n(n+1)(n+2)/6

Now just plug in n=10

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